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STAFF
  Jeroen Lamb  
  Martin Rasmussen  
  Dmitry Turaev  
  Sebastian van Strien  
RESEARCHERS
Mike Field
POSTDOCS
Fabrizio Bianchi
Trevor Clark
Nikos Karaliolios
Dongchen Li
Sofia Trejo Abad
Paul Verschueren
Björn Winckler
PHD STUDENTS
Alex Athorne
Sajjad Bakrani Balani
Giulia Carigi
Andrew Clarke
Maximilian Engel
Federico Graceffa
Michael Hartl
Giuseppe Malavolta
Guillermo Olicón Méndez
Cezary Olszowiec
Christian Pangerl
Matteo Tanzi
Kalle Timperi
VISITORS
Shangzhi Li
Ole Peters
Camille Poignard
Cristina Sargent
Bill Speares
Kevin Webster
RELATED STAFF
Mauricio Barahona
Davoud Cheraghi
Martin Hairer
Darryl Holm
Xue-Mei Li
Greg Pavliotis


PUBLICATIONS




Complete List

BY SUBJECT
Attractors
Bifurcation Theory
Chaos
Computational dynamics
Ergodic theory
Game theory
Hamiltonian systems
Holomorphic dynamics
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Infinite-dimensional systems
Low-dimensional dynamical systems
Networks
Nonautonomous dynamical systems
Pattern formation
Random dynamical systems
Slow-fast systems
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DynamIC Publications

Preprints
  • Fabrizio Bianchi, Misiurewicz parameters and dynamical stability of polynomial-like maps of large topological degree. DynamIC Preprint 2017-5
  • François Berteloot and Fabrizio Bianchi , Perturbations d'exemples de Lattès et dimension de Hausdorff du lieu de bifurcation, to appear in: Journal de Mathématiques Pures et Appliquées. DynamIC Preprint 2017-4
  • Nikolaos Karaliolios, Cohomological rigidity and the Anosov-Katok construction. DynamIC Preprint 2017-3
  • Thai Son Doan, Maximilian Engel, Jeroen S.W. Lamb, and Martin Rasmussen, Hopf bifurcation with additive noise. DynamIC Preprint 2017-2
  • Jürgen Knobloch, Jeroen S. W. Lamb, and Kevin N. Webster, Shift dynamics near non-elementary T-points with real eigenvalues, to appear in: Journal of Difference Equations and Applications. DynamIC Preprint 2017-1
  • Nikolaos Karaliolios, Invariant Distributions and local theory of quasiperiodic cocycles in T^d x SU(2). DynamIC Preprint 2016-10
  • Nikolaos Karaliolios, Differentiable Rigidity for quasiperiodic cocycles in compact Lie groups. DynamIC Preprint 2016-9
  • Nikolaos Karaliolios, Continuous spectrum or measurable reducibility for quasiperiodic cocycles in T^d x SU(2). DynamIC Preprint 2016-8
  • Maximilian Engel, Jeroen S. W. Lamb, and Martin Rasmussen, Bifurcation analysis of a stochastically driven limit cycle. DynamIC Preprint 2016-6
  • Christian Bick and Michael Field, Functional Asynchronous Networks: Factorization of Dynamics and Function. DynamIC Preprint 2016-5
  • Dongchen Li, Homoclinic Bifurcations that Give Rise to Heterodimensional Cycles near A Saddle-Focus Equilibrium. DynamIC Preprint 2016-3
  • Peter Giesl, Boumediene Hamzi, Martin Rasmussen, and Kevin N. Webster, Approximation of Lyapunov functions from noisy data. DynamIC Preprint 2016-1
  • Julian Newman, A note on the conditional triviality property for regular conditional distributions. DynamIC Preprint 2015-13
  • Julian Newman, Synchronisation of almost all trajectories of a random dynamical system. DynamIC Preprint 2015-12
  • Julian Newman, Synchronisation in Invertible Random Dynamical Systems on the Circle. DynamIC Preprint 2015-11
  • Julian Newman, Necessary and Sufficient Conditions for Stable Synchronisation in Random Dynamical Systems. DynamIC Preprint 2015-10
  • Davoud Cheraghi and Mitsuhiro Shishikura, Satellite renormalization of quadratic polynomials. DynamIC Preprint 2015-5
  • Martin Rasmussen, Janosch Rieger, and Kevin N. Webster, A reinterpretation of set differential equations as differential equations in a Banach space. DynamIC Preprint 2015-3
  • Thai Son Doan, Kenneth J. Palmer, and Martin Rasmussen, The Bohl spectrum for linear nonautonomous differential equations, to appear in: Journal of Dynamics and Differential Equations. DynamIC Preprint 2015-2
  • Weixiao Shen and Sebastian van Strien, Recent developments in interval dynamics, to appear in: Proceedings of the International Congress of Mathematicians 2014. DynamIC Preprint 2014-11
  • Alexander M. Henderson, Eric J. Olson, James C. Robinson, and Nicholas Sharples, Equi-homogeneity, Assouad dimension and non-autonomous dynamics. DynamIC Preprint 2014-7
  • Jan Philipp Pade and Tiago Pereira, Improving the network structure can lead to functional failures. DynamIC Preprint 2014-6
  • Davoud Cheraghi, Typical orbits of quadratic polynomials with a neutral fixed point: Non-Brjuno type. DynamIC Preprint 2013-7
  • Artur Avila and Davoud Cheraghi, Statistical properties of quadratic polynomials with a neutral fixed point. DynamIC Preprint 2013-6
  • Mark Callaway, Thai Son Doan, Jeroen S. W. Lamb, and Martin Rasmussen, The dichotomy spectrum for random dynamical systems and pitchfork bifurcations with additive noise. DynamIC Preprint 2013-4
  • Tiago Pereira, Sebastian van Strien, and Jeroen S. W. Lamb, Dynamics of coupled maps in heterogeneous random networks. DynamIC Preprint 2013-1
2017
  • Masayuki Asaoka, Katsutoshi Shinohara, and Dmitry Turaev, Degenerate behavior in non-hyperbolic semigroup actions on the interval: fast growth of periodic points and universal dynamics, Mathematische Annalen 368, 3−4 (2017), 1277−1309. Article MathSciNet
  • Christian Bick and Michael J. Field, Asynchronous networks: modularization of dynamics theorem, Nonlinearity 30, 2 (2017), 595−621. Article MathSciNet Preprint
  • Christian Bick and Michael J. Field, Asynchronous networks and event driven dynamics, Nonlinearity 30, 2 (2017), 558−594. Article MathSciNet Preprint
  • Anna Maria Cherubini, Jeroen S. W. Lamb, Martin Rasmussen, and Yuzuru Sato, A random dynamical systems perspective on stochastic resonance, Nonlinearity 30, 7 (2017), 2835−2853. Article MathSciNet Preprint
  • Trevor Clark, Sebastian van Strien, and Sofia Trejo, Complex bounds for real maps, Communications in Mathematical Physics 355, 3 (2017), 1001−1119. Article MathSciNet Preprint
  • Pierre Degond and Maximilian Engel, Numerical approximation of a coagulation-fragmentation model for animal group size statistics, Networks and Heterogeneous Media 12, 2 (2017), 217−243. Article MathSciNet Preprint
  • Deniz Eroglu, Jeroen S.W. Lamb, and Tiago Pereira, Synchronisation of chaos and its applications, Contemporary Physics 58, 3 (2017), 207−243. Article
  • Michael J. Field, Patterns of desynchronization and resynchronization in heteroclinic networks, Nonlinearity 30, 2 (2017), 516−557. Article MathSciNet Preprint
  • Vassili Gelfreich and Dmitry Turaev, Arnold diffusion in a priori chaotic symplectic maps, Communications in Mathematical Physics 353, 2 (2017), 507−547. Article MathSciNet
  • Alexander S. Gonchenko, Sergey V. Gonchenko, Alexey O. Kazakov, and Dmitry Turaev, On the phenomenon of mixed dynamics in Pikovsky-Topaj system of coupled rotators, Physica D 350(2017), 45−57. Article MathSciNet
  • Dongchen Li and Dmitry Turaev, Existence of heterodimensional cycles near Shilnikov loops in systems with a $\BbbZ_2$ symmetry, Discrete and Continuous Dynamical Systems A 37, 8 (2017), 4399−4437. Article MathSciNet Preprint
  • Ivan I. Ovsyannikov and Dmitry Turaev, Analytic proof of the existence of the Lorenz attractor in the extended Lorenz model, Nonlinearity 30, 1 (2017), 115−137. Article MathSciNet
  • Martin Rasmussen, Janosch Rieger, and Kevin N. Webster, Approximation of reachable sets using optimal control and support vector machines, Journal of Computational and Applied Mathematics 311(2017), 68−83. Article MathSciNet Preprint
2016
  • Fabio Bagarello, Anna Maria Cherubini, and Francesco Oliveri, An operatorial description of desertification, SIAM Journal on Applied Mathematics 76, 2 (2016), 479−499. Article MathSciNet
  • William Giles, Jeroen S.W. Lamb, and Dmitry Turaev, On homoclinic orbits to center manifolds of elliptic-hyperbolic equilibria in Hamiltonian systems, Nonlinearity 29, 10 (2016), 3148−3173. Article MathSciNet
  • Eric J. Olson, James C. Robinson, and Nicholas Sharples, Generalised Cantor sets and the dimension of products, Mathematical Proceedings of the Cambridge Philosophical Society 160, 1 (2016), 51−75. Article MathSciNet Preprint
  • Martin Rasmussen, Alan Hastings, Matthew J. Smith, Folashade B. Agusto, Benito M. Chen-Charpentier, Forrest M. Hoffman, Jiang Jiang, Katherine E. O. Todd-Brown, Ying Wang, Ying-Ping Wang, and Yiqi Luo, Transit times and mean ages for nonautonomous and autonomous compartmental systems, Journal of Mathematical Biology 73, 6−7 (2016), 1379−1398. Article MathSciNet Preprint
  • Janosch Rieger, The Euler scheme for state constrained ordinary differential inclusions, Discrete and Continuous Dynamical Systems B 21, 8 (2016), 2729−2744. Article MathSciNet Preprint
  • Ying-Ping Wang, Jiang Jiang, Benito Chen-Charpentier, Folashade B. Agusto, Alan Hastings, Forrest Hoffman, Martin Rasmussen, Matthew J. Smith, Katherine Todd-Brown, Ying Wang, Xia Xu, and Yiqi Luo, Responses of two nonlinear microbial models to warming and increased carbon input, Biogeosciences 13(2016), 887−902. Article
2015
  • Vasso Anagnostopoulou, Tobias Jäger, and Gerhard Keller, A model for the nonautonomous Hopf bifurcation, Nonlinearity 28, 7 (2015), 2587−2616. MathSciNet Preprint
  • Patrick Bonckaert, Peter De Maesschalck, Thai Son Doan, and Stefan Siegmund, Partial linearization for planar nonautonomous differential equations, Journal of Differential Equations 258, 5 (2015), 1618−1652. Article MathSciNet
  • Henk Bruin and Sebastian van Strien, Monotonicity of entropy for real multimodal maps, Journal of the American Mathematical Society 28, 1 (2015), 1−61. Article MathSciNet
  • Davoud Cheraghi and Arnaud Chéritat, A proof of the Marmi-Moussa-Yoccoz conjecture for rotation numbers of high type, Inventiones Mathematicae 202, 2 (2015), 677−742. MathSciNet Preprint
  • Nguyen Dinh Cong, Thai Son Doan, and Stefan Siegmund, On Lyapunov exponents of difference equations with random delay, Discrete and Continuous Dynamical Systems B 20, 3 (2015), 861−874. Article MathSciNet
  • Raffaele Corrado, Anna Maria Cherubini, and Cecilia Pennetta, Critical desertification transition in semi-arid ecosystems: The role of local facilitation and colonization rate, Communications in Nonlinear Science and Numerical Simulation 22, 1−3 (2015), 3−12. Article
  • Raffaele Corrado, Anna Maria Cherubini, and Cecilia Pennetta, Desertification transition in semi-arid ecosystems and directed percolation, in: ISCS 2014: Interdisciplinary Symposium on Complex Systems, 99−107, Springer, 2015.
  • Thai Son Doan, Anke Kalauch, Markus Klose, and Stefan Siegmund, Stability of positive linear switched systems on ordered Banach spaces, Systems & Control Letters 75(2015), 14−19. Article MathSciNet
  • Thai Son Doan, Martin Rasmussen, and Peter E. Kloeden, The mean-square dichotomy spectrum and a bifurcation to a mean-square attractor, Discrete and Continuous Dynamical Systems B 20, 3 (2015), 875−887. Article MathSciNet Preprint
  • Michael J. Field, Heteroclinic networks in homogeneous and heterogeneous identical cell systems, Journal of Nonlinear Science 25, 3 (2015), 779−813. Article MathSciNet
  • Boumediene Hamzi, Jeroen S. W. Lamb, and Debra Lewis, A characterization of normal forms for control systems, Journal of Dynamical and Control Systems 21, 2 (2015), 273−284. Article MathSciNet
  • Jeroen S. W. Lamb, Martin Rasmussen, and Christian S. Rodrigues, Topological bifurcations of minimal invariant sets for set-valued dynamical systems, Proceedings of the American Mathematical Society 143, 9 (2015), 3927−3937. Article MathSciNet Preprint
  • Julian Newman and Oleg Makarenkov, Resonance oscillations in a mass-spring impact oscillator, Nonlinear Dynamics 79, 1 (2015), 111−118. Article MathSciNet Preprint
  • Ivan I. Ovsyannikov, Dmitry Turaev, and Sergey Zelik, Bifurcation to chaos in the complex Ginzburg-Landau equation with large third-order dispersion, Modelirovanie i Analiz Informatsionnykh Sistem. Modeling and Analysis of Information Systems 22, 3 (2015), 327−336. Article MathSciNet Preprint
  • Tiago Pereira and Dmitry Turaev, Fast Fermi acceleration and entropy growth, Mathematical Modelling of Natural Phenomena 10, 3 (2015), 31−47. Article MathSciNet Preprint
  • Tiago Pereira and Dmitry Turaev, Exponential energy growth in adiabatically changing Hamiltonian systems, Physical Review E 91, 1 (2015), 010910(R), 4. Article MathSciNet Preprint
  • Lasse Rempe-Gillen and Sebastian van Strien, Density of hyperbolicity for classes of real transcendental entire functions and circle maps, Duke Mathematical Journal 164, 6 (2015), 1079−1137. Article MathSciNet
  • Kushal Shah, Vassili Gelfreich, Vered Rom-Kedar, and Dmitry Turaev, Leaky Fermi accelerators, Physical Review E 91, 6 (2015), 062920, 7. Article MathSciNet Preprint
  • Jake Stroud, Mauricio Barahona, and Tiago Pereira, Dynamics of cluster synchronisation in modular networks: implications for structural and functional networks, in: Applications of chaos and nonlinear dynamics in science and engineering, Understanding Complex Systems, 107−130, Springer, Cham, 2015. MathSciNet Preprint
  • Dmitry Turaev, Maps close to identity and universal maps in the Newhouse domain, Communications in Mathematical Physics 335, 3 (2015), 1235−1277. Article MathSciNet Preprint
2014
  • Valentin S. Afraimovich, Sergey V. Gonchenko, Lev M. Lerman, Andrey L. Shilnikov, and Dmitry Turaev, Scientific heritage of L. P. Shilnikov, Regular and Chaotic Dynamics 19, 4 (2014), 435−460. Article MathSciNet
  • Nguyen Dinh Cong, Thai Son Doan, Stefan Siegmund, and Hoang The Tuan, On stable manifolds for planar fractional differential equations, Applied Mathematics and Computation 226(2014), 157−168. Article MathSciNet
  • Nguyen Dinh Cong, Thai Son Doan, and Hoang The Tuan, On fractional Lyapunov exponent for solutions of linear fractional differential equations, Fractional Calculus and Applied Analysis 17, 2 (2014), 285−306. Article MathSciNet
  • Nguyen Dinh Cong, Thai Son Doan, Hoang The Tuan, and Stefan Siegmund, Structure of the fractional Lyapunov spectrum for linear fractional differential equations, Advances in Dynamical Systems and Applications 9, 2 (2014), 149−159. MathSciNet
  • Raffaele Corrado, Anna Maria Cherubini, and Cecilia Pennetta, Early warning signals of desertification transitions in semiarid ecosystems, Physical Review E 90(2014), 062705. Article
  • Vassili Gelfreich, Vered Rom-Kedar, and Dmitry Turaev, Oscillating mushrooms: adiabatic theory for a non-ergodic system, Journal of Physics A 47, 39 (2014), 395101, 21. MathSciNet
  • Alexander Gonchenko, Sergey V. Gonchenko, Alexey Kazakov, and Dmitry Turaev, Simple scenarios of onset of chaos in three-dimensional maps, International Journal of Bifurcation and Chaos 24, 8 (2014), 1440005, 25. Article MathSciNet Preprint
  • Serey V. Gonchenko, Olga V. Gordeeva, Valery I. Lukyanov, and Ivan I. Ovsyannikov, On bifurcations of multidimensional diffeomorphisms having a homoclinic tangency to a saddle-node, Regular and Chaotic Dynamics 19, 4 (2014), 461−473. Article MathSciNet
  • Sergey V. Gonchenko, Jeroen S. W. Lamb, Isabel Rios, and Dmitry Turaev, Attractors and repellers in the neighborhood of elliptic points of reversible systems, Rossiĭskaya Akademiya Nauk. Doklady Akademii Nauk 454, 4 (2014), 375−378. MathSciNet
  • Sergey V. Gonchenko, Ivan I. Ovsyannikov, and Joan C. Tatjer, Birth of discrete Lorenz attractors at the bifurcations of 3D maps with homoclinic tangencies to saddle points, Regular and Chaotic Dynamics 19, 4 (2014), 495−505. Article MathSciNet
  • Jürgen Knobloch, Jeroen S. W. Lamb, and Kevin N. Webster, Using Lin's method to solve Bykov's problems, Journal of Differential Equations 257, 8 (2014), 2984−3047. Article MathSciNet Preprint
  • Georg Ostrovski and Sebastian van Strien, Payoff performance of fictitious play, Journal of Dynamics and Games 1, 4 (2014), 621−638. Article MathSciNet Preprint
  • Tiago Pereira, Jaap Eldering, Martin Rasmussen, and Alexei Veneziani, Towards a theory for diffusive coupling functions allowing persistent synchronization, Nonlinearity 27, 3 (2014), 501−525. Article MathSciNet Preprint
  • Leonid Pavlovich Shilnikov, Andrey L. Shilnikov, and Dmitry V. Turaev, Showcase of blue sky catastrophes, International Journal of Bifurcation and Chaos 24, 8 (2014), 1440003, 10. Article MathSciNet Preprint
  • Dmitry Turaev, Hyperbolic sets near homoclinic loops to a saddle for systems with a first integral, Regular and Chaotic Dynamics 19, 6 (2014), 681−693. Article MathSciNet Preprint
  • Dmitry Turaev, Christopher Warner, and Sergey Zelik, Energy growth for a nonlinear oscillator coupled to a monochromatic wave, Regular and Chaotic Dynamics 19, 4 (2014), 513−522. Article MathSciNet
  • Sebastian van Strien, Milnor's conjecture on monotonicity of topological entropy: results and questions, in: Frontiers in complex dynamics, Princeton Mathematical Series, 323−337, Princeton University Press, Princeton, New Jersey, 2014. MathSciNet
  • Ying-Ping Wang, Benito Chen, William R. Wieder, Yiqi Luo, Maria Leite, Belinda E. Medlyn, Martin Rasmussen, Matthew J. Smith, Folashade B. Agusto, and Forrest Hoffman, Oscillatory behavior of two nonlinear microbial models of soil carbon decomposition, Biogeosciences  11, 7 (2014), 1817−1831. Article
  • Yong Zou, Tiago Pereira, Michael Small, Zonghua Liu, and Jürgen Kurths, Basin of attraction determines hysteresis in explosive synchronization, Physical Review Letters 112(2014), 114102. Article
2013
  • Henk Bruin and Sebastian van Strien, On the structure of isentropes of polynomial maps, Dynamical Systems 28, 3 (2013), 381−392. Article MathSciNet
  • Davoud Cheraghi, Typical orbits of quadratic polynomials with a neutral fixed point: Brjuno type, Communications in Mathematical Physics 322, 3 (2013), 999−1035. Article MathSciNet
  • Kamaludin Dingle, Jeroen S. W. Lamb, and Joan-Andreu Lázaro-Camí, Knudsen's law and random billiards in irrational triangles, Nonlinearity 26, 2 (2013), 369−388. Article MathSciNet
  • Thai Son Doan, Anke Kalauch, and Stefan Siegmund, A constructive approach to linear Lyapunov functions for positive switched systems using Collatz-Wielandt sets, Institute of Electrical and Electronics Engineers. Transactions on Automatic Control 58, 3 (2013), 748−751. Article MathSciNet
  • Thai Son Doan, Anke Kalauch, and Stefan Siegmund, Hyperbolicity radius of time-invariant linear systems, in: Differential and difference equations with applications, Springer Proceedings in Mathematics & Statistics, 113−125, Springer, New York, 2013. Article MathSciNet
  • Thai Son Doan and Stefan Siegmund, Differential equations with random delay, in: Infinite dimensional dynamical systems, Fields Institute Communications, 279−303, Springer, New York, 2013. Article MathSciNet
  • Sergey V. Gonchenko, Alexander S. Gonchenko, Ivan I. Ovsyannikov, and Dmitry Turaev, Examples of Lorenz-like attractors in Hénon-like maps, Mathematical Modelling of Natural Phenomena 8, 5 (2013), 48−70. Article MathSciNet
  • Sergey V. Gonchenko and Ivan I. Ovsyannikov, On global bifurcations of three-dimensional diffeomorphisms leading to Lorenz-like attractors, Mathematical Modelling of Natural Phenomena 8, 5 (2013), 71−83. Article MathSciNet
  • Peter E. Kloeden, Christian Pötzsche, and Martin Rasmussen, Discrete-time nonautonomous dynamical systems, in: Stability and bifurcation theory for non-autonomous differential equations, Lecture Notes in Mathematics, 35−102, Springer, Heidelberg, 2013. Article MathSciNet
  • Julian Newman, Regularization of a disk in a frictionable wedge, in: Mathematical Modelling (Inge Troch and Felix Breitenecker), 830−835, Vienna University of Technology, Vienna, 2013. Article
  • James C. Robinson, Witold Sadowski, and Nicholas Sharples, On the regularity of Lagrangian trajectories corresponding to suitable weak solutions of the Navier-Stokes equations, Procedia IUTAM 7(2013), 161−166. Article
  • James C. Robinson and Nicholas Sharples, Dimension prints and the avoidance of sets for flow solutions of non-autonomous ordinary differential equations, Journal of Differential Equations 254, 10 (2013), 4144−4167. Article MathSciNet
  • Weixiao Shen and Sebastian van Strien, On stochastic stability of expanding circle maps with neutral fixed points, Dynamical Systems 28, 3 (2013), 423−452. Article MathSciNet
2012
  • Vasso Anagnostopoulou and Tobias Jäger, Nonautonomous saddle-node bifurcations: random and deterministic forcing, Journal of Differential Equations 253, 2 (2012), 379−399. Article MathSciNet
  • Adriana Buică, Jaume Llibre, and Oleg Makarenkov, Bifurcations from nondegenerate families of periodic solutions in Lipschitz systems, Journal of Differential Equations 252, 6 (2012), 3899−3919. Article MathSciNet
  • Gerson Florence, Tiago Pereira, and Jürgen Kurths, Extracellular potassium dynamics in the hyperexcitable state of the neuronal ictal activity, Communications in Nonlinear Science and Numerical Simulation 17, 12 (2012), 4700−4706. Article MathSciNet
  • Vassili Gelfreich, Vered Rom-Kedar, and Dmitry Turaev, Fermi acceleration and adiabatic invariants for non-autonomous billiards, Chaos. An Interdisciplinary Journal of Nonlinear Science 22, 3 (2012), 033116, 21. Article MathSciNet Preprint
  • Peter Giesl and Martin Rasmussen, Areas of attraction for nonautonomous differential equations on finite time intervals, Journal of Mathematical Analysis and Applications 390, 1 (2012), 27−46. Article MathSciNet
  • Sergey V. Gonchenko, Ivan I. Ovsyannikov, and Dmitry Turaev, On the effect of invisibility of stable periodic orbits at homoclinic bifurcations, Physica D 241, 13 (2012), 1115−1122. Article MathSciNet
  • Peter E. Kloeden, Christian Pötzsche, and Martin Rasmussen, Limitations of pullback attractors for processes, Journal of Difference Equations and Applications 18, 4 (2012), 693−701. Article MathSciNet
  • Lev M. Lerman and Dmitry Turaev, Breakdown of symmetry in reversible systems, Regular and Chaotic Dynamics 17, 3−4 (2012), 318−336. Article MathSciNet
  • Oleg Makarenkov and Jeroen S. W. Lamb, Dynamics and bifurcations of nonsmooth systems: a survey, Physica D 241, 22 (2012), 1826−1844. Article MathSciNet
  • James C. Robinson and Nicholas Sharples, Strict inequality in the box-counting dimension product formulas, Real Analysis Exchange 38, 1 (2012), 95−119. Article MathSciNet
  • Vered Rom-Kedar and Dmitry Turaev, Billiards: a singular perturbation limit of smooth Hamiltonian flows, Chaos. An Interdisciplinary Journal of Nonlinear Science 22, 2 (2012), 026102, 21. Article MathSciNet Preprint
  • Alexei M. Veneziani, Tiago Pereira, and Domingos H. U. Marchetti, Asymptotic integral kernel for ensembles of random normal matrices with radial potentials, Journal of Mathematical Physics 53, 2 (2012), 023303, 21. Article MathSciNet
2011
  • Henk Broer and Sebastian van Strien, In memoriam Floris Takens 1940-2010, Koninklijke Nederlandse Akademie van Wetenschappen. Indagationes Mathematicae. New Series 22, 3−4 (2011), 137−143. Article MathSciNet
  • Alexandre Eremenko and Sebastian van Strien, Rational maps with real multipliers, Transactions of the American Mathematical Society 363, 12 (2011), 6453−6463. Article MathSciNet
  • Peter Giesl and Martin Rasmussen, A note on almost periodic variational equations, Communications on Pure and Applied Analysis 10, 3 (2011), 983−994. Article MathSciNet
  • Ale Jan Homburg, Alice C. Jukes, Jürgen Knobloch, and Jeroen S. W. Lamb, Bifurcation from codimension one relative homoclinic cycles, Transactions of the American Mathematical Society 363, 11 (2011), 5663−5701. Article MathSciNet
  • Mikhail Kamenskii, Oleg Makarenkov, and Paolo Nistri, An alternative approach to study bifurcation from a limit cycle in periodically perturbed autonomous systems, Journal of Dynamics and Differential Equations 23, 3 (2011), 425−435. Article MathSciNet
  • Peter E. Kloeden and Martin Rasmussen, Nonautonomous dynamical systems, Mathematical Surveys and Monographs 176, American Mathematical Society, Providence, RI, 2011. MathSciNet
  • Stefan Liebscher, Jörg Härterich, Kevin N. Webster, and Marc Georgi, Ancient dynamics in Bianchi models: approach to periodic cycles, Communications in Mathematical Physics 305, 1 (2011), 59−83. Article MathSciNet
  • Oleg Makarenkov, Luisa Malaguti, and Paolo Nistri, On the behavior of periodic solutions of planar autonomous Hamiltonian systems with multivalued periodic perturbations, Zeitschrift für Analysis und ihre Anwendungen 30, 2 (2011), 129−144. Article MathSciNet
  • Oleg Makarenkov and Rafael Ortega, Asymptotic stability of forced oscillations emanating from a limit cycle, Journal of Differential Equations 250, 1 (2011), 39−52. Article MathSciNet
  • Georg Ostrovski and Sebastian van Strien, Piecewise linear Hamiltonian flows associated to zero-sum games: transition combinatorics and questions on ergodicity, Regular and Chaotic Dynamics 16, 1−2 (2011), 128−153. Article MathSciNet
  • Lasse Rempe and Sebastian van Strien, Absence of line fields and Mañé's theorem for nonrecurrent transcendental functions, Transactions of the American Mathematical Society 363, 1 (2011), 203−228. Article MathSciNet
  • Colin Sparrow and Sebastian van Strien, Dynamics associated to games (fictitious play) with chaotic behavior, in: Dynamics, Games and Science I, Springer Proceedings in Mathematics, 747−759, Springer, Heidelberg, 2011. Article MathSciNet
  • Colin Sparrow and Sebastian van Strien, Dynamics associated to games (fictitious play) with chaotic behavior, in: Dynamics, games and science I, Springer Proceedings in Mathematics, 747−759, Springer, Heidelberg, 2011. Article MathSciNet
  • Gheorghe Tigan and Dmitry Turaev, Analytical search for homoclinic bifurcations in the Shimizu-Morioka model, Physica D 240, 12 (2011), 985−989. Article MathSciNet
  • Dmitry Turaev, Diffeomorphisms which cannot be topologically conjugate to diffeomorphisms of a higher smoothness, Ergodic Theory and Dynamical Systems 31, 2 (2011), 563−569. Article MathSciNet
  • Sebastian van Strien, Hamiltonian flows with random-walk behaviour originating from zero-sum games and fictitious play, Nonlinearity 24, 6 (2011), 1715−1742. Article MathSciNet
  • Sebastian van Strien and Colin Sparrow, Fictitious play in 3x3 games: chaos and dithering behaviour, Games and Economic Behavior 73, 1 (2011), 262−286. Article MathSciNet
  • Alexei M. Veneziani, Tiago Pereira, and Domingos H. U. Marchetti, Conformal deformation of equilibrium measures in normal random ensembles, Journal of Physics A 44, 7 (2011), 075202, 21. Article MathSciNet
2010
  • Fritz Colonius, Thorsten Hüls, and Martin Rasmussen, Connecting orbits in perturbed systems, Nonlinear Dynamics 59, 4 (2010), 569−578. Article MathSciNet
  • Vassili Gelfreich and Dmitry Turaev, Universal dynamics in a neighborhood of a generic elliptic periodic point, Regular and Chaotic Dynamics 15, 2−3 (2010), 159−164. Article MathSciNet
  • Christian Pötzsche and Martin Rasmussen, Computation of integral manifolds for Carathéodory differential equations, IMA Journal of Numerical Analysis 30, 2 (2010), 401−430. Article MathSciNet
  • Martin Rasmussen, An alternative approach to Sacker-Sell spectral theory, Journal of Difference Equations and Applications 16, 2−3 (2010), 227−242. Article MathSciNet
  • Martin Rasmussen, Finite-time attractivity and bifurcation for nonautonomous differential equations, Differential Equations and Dynamical Systems 18, 1−2 (2010), 57−78. Article MathSciNet
  • Vered Rom-Kedar and Dmitry Turaev, The symmetric parabolic resonance, Nonlinearity 23, 6 (2010), 1325−1351. Article MathSciNet
  • Kushal Shah, Dmitry Turaev, and Vered Rom-Kedar, Exponential energy growth in a Fermi accelerator, Physical Review E 81, 5 (2010), 056205, 6. Article MathSciNet
  • Dmitry Turaev, Richness of chaos in the absolute Newhouse domain, in: Proceedings of the International Congress of Mathematicians. Volume III, 1804−1815, Hindustan Book Agency, New Delhi, 2010. MathSciNet
  • Dmitry Turaev and Sergey Zelik, Analytical proof of space-time chaos in Ginzburg-Landau equations, Discrete and Continuous Dynamical Systems A 28, 4 (2010), 1713−1751. Article MathSciNet
  • Sebastian van Strien, One-parameter families of smooth interval maps: density of hyperbolicity and robust chaos, Proceedings of the American Mathematical Society 138, 12 (2010), 4443−4446. Article MathSciNet
  • Sebastian van Strien, One-dimensional dynamics in the new millennium, Discrete and Continuous Dynamical Systems A 27, 2 (2010), 557−588. Article MathSciNet
2009
  • Vítor Araújo, Stefano Luzzatto, and Marcelo Viana, Invariant measures for interval maps with critical points and singularities, Advances in Mathematics 221, 5 (2009), 1428−1444. Article MathSciNet
  • Katie Bloor and Stefano Luzzatto, Some remarks on the geometry of the standard map, International Journal of Bifurcation and Chaos 19, 7 (2009), 2213−2232. Article MathSciNet
  • Adriana Buică, Jaume Llibre, and Oleg Makarenkov, Asymptotic stability of periodic solutions for nonsmooth differential equations with application to the nonsmooth van der Pol oscillator, SIAM Journal on Mathematical Analysis 40, 6 (2009), 2478−2495. Article MathSciNet
  • Pietro-Luciano Buono, Martin Helmer, and Jeroen S. W. Lamb, On the zero set of G-equivariant maps, Mathematical Proceedings of the Cambridge Philosophical Society 147, 3 (2009), 735−755. Article MathSciNet
  • Sergey V. Gonchenko, Leonid P. Shilnikov, and Dmitry Turaev, On global bifurcations in three-dimensional diffeomorphisms leading to wild Lorenz-like attractors, Regular and Chaotic Dynamics 14, 1 (2009), 137−147. Article MathSciNet
  • Shangjiang Guo, Jeroen S. W. Lamb, and Bob W. Rink, Branching patterns of wave trains in the FPU lattice, Nonlinearity 22, 2 (2009), 283−299. Article MathSciNet
  • Oleg Kozlovski and Sebastian van Strien, Local connectivity and quasi-conformal rigidity of non-renormalizable polynomials, Proceedings of the London Mathematical Society 99, 2 (2009), 275−296. Article MathSciNet
  • Christian Pötzsche and Martin Rasmussen, Computation of nonautonomous invariant and inertial manifolds, Numerische Mathematik 112, 3 (2009), 449−483. Article MathSciNet
  • Christian Pötzsche and Martin Rasmussen, Hibernation prevents chaos: a logistic case study, in: Difference equations and applications (M. Bohner, Z. Doslá, G. Ladas, M. Ünal, A. Zafer), 259−274, Uğur-Bahçeşehir Univ. Publ. Co., Istanbul, 2009. MathSciNet
  • Martin Rasmussen, Dichotomy spectra and Morse decompositions of linear nonautonomous differential equations, Journal of Differential Equations 246, 6 (2009), 2242−2263. Article MathSciNet
2008
  • Robert E. Beardmore and Kevin N. Webster, Normal forms, quasi-invariant manifolds, and bifurcations of nonlinear difference-algebraic equations, SIAM Journal on Mathematical Analysis 40, 1 (2008), 413−441. Article MathSciNet
  • Robert E. Beardmore and Kevin N. Webster, A Hopf bifurcation theorem for singular differential-algebraic equations, Mathematics and Computers in Simulation 79, 4 (2008), 1383−1395. Article MathSciNet
  • Henk Bruin, Juan Rivera-Letelier, Weixiao Shen, and Sebastian van Strien, Large derivatives, backward contraction and invariant densities for interval maps, Inventiones Mathematicae 172, 3 (2008), 509−533. Article MathSciNet
  • Pietro-Luciano Buono, Jeroen S. W. Lamb, and R. Mark Roberts, Bifurcation and branching of equilibria in reversible-equivariant vector fields, Nonlinearity 21, 4 (2008), 625−660. Article MathSciNet
  • Yongluo Cao, Stefano Luzzatto, and Isabel Rios, Uniform hyperbolicity for random maps with positive Lyapunov exponents, Proceedings of the American Mathematical Society 136, 10 (2008), 3591−3600. Article MathSciNet
  • Yongluo Cao, Stefano Luzzatto, and Isabel Rios, The boundary of hyperbolicity for Hénon-like families, Ergodic Theory and Dynamical Systems 28, 4 (2008), 1049−1080. Article MathSciNet
  • Fritz Colonius, Peter E. Kloeden, and Martin Rasmussen, Morse spectrum for nonautonomous differential equations, Stochastics and Dynamics 8, 3 (2008), 351−363. Article MathSciNet
  • Sarah Day, Hiroshi Kokubu, Stefano Luzzatto, Konstantin Mischaikow, Hiroe Oka, and Paveł Pilarczyk, Quantitative hyperbolicity estimates in one-dimensional dynamics, Nonlinearity 21, 9 (2008), 1967−1987. Article MathSciNet
  • Vassili Gelfreich and Dmitry Turaev, Unbounded energy growth in Hamiltonian systems with a slowly varying parameter, Communications in Mathematical Physics 283, 3 (2008), 769−794. Article MathSciNet
  • Vassili Gelfreich and Dmitry Turaev, Fermi acceleration in non-autonomous billiards, Journal of Physics A 41, 21 (2008), 212003, 6. Article MathSciNet
  • Peter Giesl and Martin Rasmussen, Borg's criterion for almost periodic differential equations, Nonlinear Analysis. Theory, Methods & Applications 69, 11 (2008), 3722−3733. Article MathSciNet
  • Sergey V. Gonchenko, Leonid P. Shilnikov, and Dmitry Turaev, On dynamical properties of multidimensional diffeomorphisms from Newhouse regions. I, Nonlinearity 21, 5 (2008), 923−972. Article MathSciNet
  • Shangjiang Guo and Jeroen S. W. Lamb, Equivariant Hopf bifurcation for neutral functional differential equations, Proceedings of the American Mathematical Society 136, 6 (2008), 2031−2041. Article MathSciNet
  • Ale Jan Homburg, Alice C. Jukes, Jürgen Knobloch, and Jeroen S. W. Lamb, Saddle-nodes and period-doublings of Smale horseshoes: a case study near resonant homoclinic bellows, Bulletin of the Belgian Mathematical Society. Simon Stevin 15, 5 (2008), 833−850. Article MathSciNet
  • Anna Rapoport, Vered Rom-Kedar, and Dmitry Turaev, Stability in high dimensional steep repelling potentials, Communications in Mathematical Physics 279, 2 (2008), 497−534. Article MathSciNet
  • Martin Rasmussen, All-time Morse decompositions of linear nonautonomous dynamical systems, Proceedings of the American Mathematical Society 136, 3 (2008), 1045−1055. Article MathSciNet
  • Martin Rasmussen, Bifurcations of asymptotically autonomous differential equations, Set-Valued Analysis 16, 7−8 (2008), 821−849. Article MathSciNet
  • Colin Sparrow, Sebastian van Strien, and Christopher Harris, Fictitious play in 3x3 games: the transition between periodic and chaotic behaviour, Games and Economic Behavior 63, 1 (2008), 259−291. Article MathSciNet
  • Dmitry Turaev and Leonid P. Shilnikov, Pseudohyperbolicity and the problem of the periodic perturbation of Lorenz-type attractors, Rossiĭskaya Akademiya Nauk. Doklady Akademii Nauk 418, 1 (2008), 23−27. Article MathSciNet
2007
  • Oliver Butterley and Carlangelo Liverani, Smooth Anosov flows: correlation spectra and stability, Journal of Modern Dynamics 1, 2 (2007), 301−322. Article MathSciNet
  • Arek Goetz, Sebastian van Strien, and Franco Vivaldi, Special issue on geometric dynamics with singularities, Dynamical Systems 22, 1 (2007), 1. Article MathSciNet
  • Sergey V. Gonchenko, Dmitry Turaev, and Leonid P. Shilnikov, Homoclinic tangencies of arbitrarily high orders in conservative and dissipative two-dimensional maps, Nonlinearity 20, 2 (2007), 241−275. Article MathSciNet
  • Alexander A. Kirillov and Dmitry Turaev, Foam-like structure of the universe, Physics Letters B 656, 1−3 (2007), 1−8. Article MathSciNet
  • Oleg Kozlovski, Weixiao Shen, and Sebastian van Strien, Density of hyperbolicity in dimension one, Annals of Mathematics 166, 1 (2007), 145−182. Article MathSciNet
  • Oleg Kozlovski, Weixiao Shen, and Sebastian van Strien, Rigidity for real polynomials, Annals of Mathematics 165, 3 (2007), 749−841. Article MathSciNet
  • Jeroen S. W. Lamb and Ian Melbourne, Normal form theory for relative equilibria and relative periodic solutions, Transactions of the American Mathematical Society 359, 9 (2007), 4537−4556. Article MathSciNet
  • Anna Rapoport, Vered Rom-Kedar, and Dmitry Turaev, Approximating multi-dimensional Hamiltonian flows by billiards, Communications in Mathematical Physics 272, 3 (2007), 567−600. Article MathSciNet
  • Martin Rasmussen, Nonautonomous bifurcation patterns for one-dimensional differential equations, Journal of Differential Equations 234, 1 (2007), 267−288. Article MathSciNet
  • Martin Rasmussen, Attractivity and bifurcation for nonautonomous dynamical systems, Lecture Notes in Mathematics 1907, Springer, Berlin, 2007. MathSciNet
  • Martin Rasmussen, Morse decompositions of nonautonomous dynamical systems, Transactions of the American Mathematical Society 359, 10 (2007), 5091−5115. Article MathSciNet
  • Tanya Schmah and Cristina Stoica, Saari's conjecture is true for generic vector fields, Transactions of the American Mathematical Society 359, 9 (2007), 4429−4448. Article MathSciNet
  • Martijn van Noort, Mason A. Porter, Yingfei Yi, and Shui-Nee Chow, Quasiperiodic dynamics in Bose-Einstein condensates in periodic lattices and superlattices, Journal of Nonlinear Science 17, 1 (2007), 59−83. Article MathSciNet
  • Sebastian van Strien and Edson Vargas, Erratum to: Real bounds, ergodicity and negative Schwarzian for multimodal maps, Journal of the American Mathematical Society 20, 1 (2007), 267−268. Article MathSciNet
2006
  • Bernd Aulbach, Martin Rasmussen, and Stefan Siegmund, Invariant manifolds as pullback attractors of nonautonomous differential equations, Discrete and Continuous Dynamical Systems A 15, 2 (2006), 579−596. Article MathSciNet
  • Henk Bruin and Stefano Luzzatto, Topological invariance of the sign of the Lyapunov exponents in one-dimensional maps, Proceedings of the American Mathematical Society 134, 1 (2006), 265−272. Article MathSciNet
  • Henk Bruin, Weixiao Shen, and Sebastian van Strien, Existence of unique SRB-measures is typical for real unicritical polynomial families, Annales Scientifiques de l'École Normale Supérieure. Quatrième Série 39, 3 (2006), 381−414. Article MathSciNet
  • Yongluo Cao, Stefano Luzzatto, and Isabel Rios, Some non-hyperbolic systems with strictly non-zero Lyapunov exponents for all invariant measures: horseshoes with internal tangencies, Discrete and Continuous Dynamical Systems A 15, 1 (2006), 61−71. Article MathSciNet
  • Ana Paula S. Dias and Jeroen S. W. Lamb, Local bifurcation in symmetric coupled cell networks: linear theory, Physica D 223, 1 (2006), 93−108. Article MathSciNet
  • Karla Díaz-Ordaz, Decay of correlations for non-Hölder observables for one-dimensional expanding Lorenz-like maps, Discrete and Continuous Dynamical Systems A 15, 1 (2006), 159−176. Article MathSciNet
  • Karla Díaz-Ordaz, Mark P. Holland, and Stefano Luzzatto, Statistical properties of one-dimensional maps with critical points and singularities, Stochastics and Dynamics 6, 4 (2006), 423−458. Article MathSciNet
  • Sergey V. Gonchenko, Klaus R. Schneider, and Dmitry Turaev, Quasiperiodic regimes in multisection semiconductor lasers, Regular and Chaotic Dynamics 11, 2 (2006), 213−224. Article MathSciNet
  • Sergey V. Gonchenko, Dmitry Turaev, and Leonid P. Shilnikov, Homoclinic tangencies of arbitrary order in conservative two-dimensional mappings, Rossiĭskaya Akademiya Nauk. Doklady Akademii Nauk 407, 3 (2006), 299−303. MathSciNet
  • Mark P. Holland and Stefano Luzzatto, Stable manifolds under very weak hyperbolicity conditions, Journal of Differential Equations 221, 2 (2006), 444−469. Article MathSciNet
  • Ale Jan Homburg and Jeroen S. W. Lamb, Symmetric homoclinic tangles in reversible systems, Ergodic Theory and Dynamical Systems 26, 6 (2006), 1769−1789. Article MathSciNet
  • Tobias H. Jäger and Jaroslav Stark, Towards a classification for quasiperiodically forced circle homeomorphisms, Journal of the London Mathematical Society 73, 3 (2006), 727−744. Article MathSciNet
  • Oleg Kozlovski, Patrick Pintus, Sebastian van Strien, and Robin de Vilder, Business-cycle models and the dangers of linearizing, Journal of Optimization Theory and Applications 128, 2 (2006), 333−353. Article MathSciNet
  • Jeroen S. W. Lamb, Ian Melbourne, and Claudia Wulff, Hopf bifurcation from relative periodic solutions; secondary bifurcations from meandering spirals, Journal of Difference Equations and Applications 12, 11 (2006), 1127−1145. Article MathSciNet
  • Stefano Luzzatto, Stochastic-like behaviour in nonuniformly expanding maps, in: Handbook of Dynamical Systems. Vol. 1B, 265−326, Elsevier, Amsterdam, 2006. Article MathSciNet
  • Stefano Luzzatto and Hiroki Takahasi, Computable conditions for the occurrence of non-uniform hyperbolicity in families of one-dimensional maps, Nonlinearity 19, 7 (2006), 1657−1695. Article MathSciNet
  • Stefano Luzzatto and Lanyu Wang, Topological invariance of generic non-uniformly expanding multimodal maps, Mathematical Research Letters 13, 2−3 (2006), 343−357. Article MathSciNet
  • Christian Pötzsche and Martin Rasmussen, Taylor approximation of integral manifolds, Journal of Dynamics and Differential Equations 18, 2 (2006), 427−460. Article MathSciNet
  • Martin Rasmussen, Towards a bifurcation theory for nonautonomous difference equations, Journal of Difference Equations and Applications 12, 3−4 (2006), 297−312. Article MathSciNet
  • Bob Rink, Proof of Nishida's conjecture on anharmonic lattices, Communications in Mathematical Physics 261, 3 (2006), 613−627. Article MathSciNet
  • R. Mark Roberts, Tanya Schmah, and Cristina Stoica, Relative equilibria in systems with configuration space isotropy, Journal of Geometry and Physics 56, 5 (2006), 762−779. Article MathSciNet
2005
  • José F. Alves, Stefano Luzzatto, and Vilton Pinheiro, Markov structures and decay of correlations for non-uniformly expanding dynamical systems, Annales de l'Institut Henri Poincaré. Analyse Non Linéaire 22, 6 (2005), 817−839. Article MathSciNet
  • Bernd Aulbach, Martin Rasmussen, and Stefan Siegmund, Approximation of attractors of nonautonomous dynamical systems, Discrete and Continuous Dynamical Systems B 5, 2 (2005), 215−238. Article MathSciNet
  • Bernd Aulbach, Martin Rasmussen, and Stefan Siegmund, Invariant manifolds as pullback attractors of nonautonomous difference equations, in: Proceedings of the Eighth International Conference on Difference Equations and Applications (S. Elaydi, G. Ladas, B. Aulbach, O. Dosly), 23−37, CRC, Boca Raton, 2005. Article MathSciNet
  • Claudio A. Buzzi and Jeroen S. W. Lamb, Reversible Hamiltonian Liapunov center theorem, Discrete and Continuous Dynamical Systems B 5, 1 (2005), 51−66. MathSciNet
  • Claudio A. Buzzi and Jeroen S. W. Lamb, Reversible equivariant Hopf bifurcation, Archive for Rational Mechanics and Analysis 175, 1 (2005), 39−84. Article MathSciNet
  • Leon Chua, Dmitry Turaev, and Andrey Shilnikov, Editorial to The Leonid P. Shilnikov theme issue on qualitative theory of nonlinear dynamics and phenomena, International Journal of Bifurcation and Chaos 15, 11 (2005), 3409. Article MathSciNet
  • Sergey V. Gonchenko, Ivan I. Ovsyannikov, Carles Simó, and Dmitry Turaev, Three-dimensional Hénon-like maps and wild Lorenz-like attractors, International Journal of Bifurcation and Chaos 15, 11 (2005), 3493−3508. Article MathSciNet
  • Mark P. Holland and Stefano Luzzatto, A new proof of the stable manifold theorem for hyperbolic fixed points on surfaces, Journal of Difference Equations and Applications 11, 6 (2005), 535−551. Article MathSciNet
  • Jeroen S. W. Lamb, Marco-Antonio Teixeira, and Kevin N. Webster, Heteroclinic bifurcations near Hopf-zero bifurcation in reversible vector fields in R^3, Journal of Differential Equations 219, 1 (2005), 78−115. Article MathSciNet
  • Stefano Luzzatto, Ian Melbourne, and Frederic Paccaut, The Lorenz attractor is mixing, Communications in Mathematical Physics 260, 2 (2005), 393−401. Article MathSciNet
  • Christian Pötzsche and Martin Rasmussen, Taylor approximation of invariant fiber bundles for nonautonomous difference equations, Nonlinear Analysis. Theory, Methods & Applications 60, 7 (2005), 1303−1330. Article MathSciNet
  • Christian Pötzsche and Martin Rasmussen, Local approximation of invariant fiber bundles: an algorithmic approach, in: Difference equations and discrete dynamical systems (L. Allen, B. Aulbach, S. Elaydi, R. Sacker), 155−170, World Scientific, Singapore, 2005. Article MathSciNet
  • Andrey Shilnikov, Leonid P. Shilnikov, and Dmitry Turaev, Blue-sky catastrophe in singularly perturbed systems, Moscow Mathematical Journal 5, 1 (2005), 269−282. MathSciNet
  • Dmitry Turaev, An example of a resonant homoclinic loop of infinite cyclicity, Moscow Mathematical Journal 5, 1 (2005), 283−293. MathSciNet
2004
  • José F. Alves, Stefano Luzzatto, and Vilton Pinheiro, Lyapunov exponents and rates of mixing for one-dimensional maps, Ergodic Theory and Dynamical Systems 24, 3 (2004), 637−657. Article MathSciNet
  • Yongluo Cao, Stefano Luzzatto, and Isabel Rios, A minimum principle for Lyapunov exponents and a higher-dimensional version of a theorem of Ma\~né, Qualitative Theory of Dynamical Systems 5, 2 (2004), 261−273. Article MathSciNet
  • Sergey V. Gonchenko, Dmitry Turaev, and Leonid P. Shilnikov, The existence of a countable set of elliptic periodic trajectories in four-dimensional symplectic mappings with a homoclinic tangency, Trudy Matematicheskogo Instituta Imeni V. A. Steklova. Rossiĭskaya Akademiya Nauk 244, Din. Sist. i Smezhnye Vopr. Geom. (2004), 115−142. MathSciNet
  • Sam Gratrix and John N. Elgin, Pointwise dimensions of the Lorenz attractor, Physical Review Letters 92, 1 (2004), 014101, 4. Article MathSciNet
  • Edmund O. Harriss and Jeroen S. W. Lamb, Canonical substitutions tilings of Ammann-Beenker type, Theoretical Computer Science 319, 1−3 (2004), 241−279. Article MathSciNet
  • Jeroen S. W. Lamb and Oleg V. Stenkin, Newhouse regions for reversible systems with infinitely many stable, unstable and elliptic periodic orbits, Nonlinearity 17, 4 (2004), 1217−1244. Article MathSciNet
  • Andrey Shilnikov, Leonid P. Shilnikov, and Dmitry Turaev, On some mathematical topics in classical synchronization. A tutorial, International Journal of Bifurcation and Chaos 14, 7 (2004), 2143−2160. Article MathSciNet
  • Sebastian van Strien and Edson Vargas, Real bounds, ergodicity and negative Schwarzian for multimodal maps, Journal of the American Mathematical Society 17, 4 (2004), 749−782 (electronic). Article MathSciNet
2003
  • José F. Alves, Stefano Luzzatto, and Vilton Pinheiro, Markov structures for non-uniformly expanding maps on compact manifolds in arbitrary dimension, Electronic Research Announcements of the American Mathematical Society 9(2003), 26−31. Article MathSciNet
  • Henk Bruin, Stefano Luzzatto, and Sebastian van Strien, Decay of correlations in one-dimensional dynamics, Annales Scientifiques de l'École Normale Supérieure. Quatrième Série 36, 4 (2003), 621−646. Article MathSciNet
  • Henk Bruin, Weixiao Shen, and Sebastian van Strien, Invariant measures exist without a growth condition, Communications in Mathematical Physics 241, 2−3 (2003), 287−306. MathSciNet
  • Henk Bruin and Sebastian van Strien, Expansion of derivatives in one-dimensional dynamics, Israel Journal of Mathematics 137(2003), 223−263. Article MathSciNet
  • Sergey V. Gonchenko, Dmitry Turaev, and Leonid P. Shilnikov, On the dynamic properties of diffeomorphisms with homoclinic tangencies, Sovremennaya Matematika i ee Prilozheniya , 7 (2003), 91−117. MathSciNet
  • Igor Hoveijn, Jeroen S. W. Lamb, and R. Mark Roberts, Normal forms and unfoldings of linear systems in eigenspaces of (anti)-automorphisms of order two, Journal of Differential Equations 190, 1 (2003), 182−213. Article MathSciNet
  • Jeroen S. W. Lamb, Ian Melbourne, and Claudia Wulff, Bifurcation from periodic solutions with spatiotemporal symmetry, including resonances and mode interactions, Journal of Differential Equations 191, 2 (2003), 377−407. Article MathSciNet
  • Stefano Luzzatto and Marcelo Viana, Exclusions of parameter values in Hénon-type systems, Rossiĭskaya Akademiya Nauk. Moskovskoe Matematicheskoe Obshchestvo. Uspekhi Matematicheskikh Nauk 58, 6(354) (2003), 3−44. Article MathSciNet
  • Jaroslav Stark, Transitive sets for quasi-periodically forced monotone maps, Dynamical Systems 18, 4 (2003), 351−364. Article MathSciNet
  • Jaroslav Stark, David S. Broomhead, Mike E. Davies, and Jeremy P. Huke, Delay embeddings for forced systems II. Stochastic forcing, Journal of Nonlinear Science 13, 6 (2003), 519−577. Article MathSciNet
  • Jaroslav Stark and Kate Hardy, Chaos: Useful at Last, Science 301(2003), 1192−1193.
  • Dmitry Turaev, Polynomial approximations of symplectic dynamics and richness of chaos in non-hyperbolic area-preserving maps, Nonlinearity 16, 1 (2003), 123−135. Article MathSciNet
  • Dmitry Turaev and Vered Rom-Kedar, Soft billiards with corners, Journal of Statistical Physics 112, 3−4 (2003), 765−813. Article MathSciNet
  • Dmitry Turaev and Sergey Zelik, Homoclinic bifurcations and dimension of attractors for damped nonlinear hyperbolic equations, Nonlinearity 16, 6 (2003), 2163−2198. Article MathSciNet
  • Kevin N. Webster and John N. Elgin, Asymptotic analysis of the Michelson system, Nonlinearity 16, 6 (2003), 2149−2162. Article MathSciNet
2002
  • János Engländer and Dmitry Turaev, A scaling limit theorem for a class of superdiffusions, The Annals of Probability 30, 2 (2002), 683−722. Article MathSciNet
  • Jeroen S. W. Lamb and Claudia Wulff, Reversible relative periodic orbits, Journal of Differential Equations 178, 1 (2002), 60−100. Article MathSciNet
  • R. Mark Roberts, Claudia Wulff, and Jeroen S. W. Lamb, Hamiltonian systems near relative equilibria, Journal of Differential Equations 179, 2 (2002), 562−604. Article MathSciNet
2001
  • Henk Bruin and Sebastian van Strien, Existence of absolutely continuous invariant probability measures for multimodal maps, in: Global analysis of dynamical systems, 433−447, Inst. Phys., Bristol, 2001. MathSciNet
  • Leonid P. Shilnikov, Andrey L. Shilnikov, Dmitry Turaev, and Leon O. Chua, Methods of qualitative theory in nonlinear dynamics. Part II, World Scientific Series on Nonlinear Science. Series A: Monographs and Treatises 5, World Scientific, River Edge, New Jersey, 2001. Article MathSciNet
  • Dmitry Turaev, Multi-pulse homoclinic loops in systems with a smooth first integral, in: Ergodic theory, analysis, and efficient simulation of dynamical systems, 691−716, Springer, Berlin, 2001. MathSciNet
  • Claudia Wulff, Jeroen S. W. Lamb, and Ian Melbourne, Bifurcation from relative periodic solutions, Ergodic Theory and Dynamical Systems 21, 2 (2001), 605−635. Article MathSciNet
2000
  • Jeroen S. W. Lamb, Ian Melbourne, and Claudia Wulff, Bifurcation from periodic and relative periodic solutions in equivariant dynamical systems, in: International Conference on Differential Equations, Vol. 1, 2 (Berlin, 1999), 175−185, World Scientific, River Edge, New Jersey, 2000. MathSciNet
  • Jeroen S. W. Lamb and Claudia Wulff, Pinning and locking of discrete waves, Physics Letters A 267, 2−3 (2000), 167−173. Article MathSciNet
  • Genadi Levin and Sebastian van Strien, Bounds for maps of an interval with one critical point of inflection type. II, Inventiones Mathematicae 141, 2 (2000), 399−465. Article MathSciNet
  • Genadi Levin and Sebastian van Strien, Total disconnectedness of Julia sets and absence of invariant linefields for real polynomials, Astérisque , 261 (2000), xii, 161−172. MathSciNet
  • Stefano Luzzatto, Bounded recurrence of critical points and Jakobson's theorem, in: The Mandelbrot set, theme and variations, London Mathematical Society Lecture Note Series, 173−210, Cambridge University Press, Cambridge, 2000. MathSciNet
  • Stefano Luzzatto and Marcelo Viana, Positive Lyapunov exponents for Lorenz-like families with criticalities, Astérisque , 261 (2000), 201−237. MathSciNet
  • Mikhail V. Shashkov and Dmitry Turaev, A proof of Shilnikov's theorem for C^1-smooth dynamical systems, in: Methods of qualitative theory of differential equations and related topics, American Mathematical Society Translations, Series 2, 149−163, American Mathematical Society, Providence, 2000. MathSciNet
  • Leonid P. Shilnikov and Dmitry V. Turaev, A new simple bifurcation of a periodic orbit of blue sky catastrophe type, in: Methods of qualitative theory of differential equations and related topics, American Mathematical Society Translations, Series 2, 165−188, American Mathematical Society, Providence, 2000. MathSciNet
  • Sebastian van Strien, Misiurewicz maps unfold generically (even if they are critically non-finite), Fundamenta Mathematicae 163, 1 (2000), 39−54. MathSciNet
1999
  • Sergey V. Gonchenko, Dmitry Turaev, and Leonid P. Shilnikov, Homoclinic tangencies of arbitrary order in Newhouse domains, in: Dynamical systems (Russian) (Moscow, 1998), Itogi Nauki Tekh. Ser. Sovrem. Mat. Prilozh. Temat. Obz., 69−128, Vseross. Inst. Nauchn. i Tekhn. Inform. (VINITI), Moscow, 1999. MathSciNet
  • Jeroen S. W. Lamb and Ian Melbourne, Bifurcation from discrete rotating waves, Archive for Rational Mechanics and Analysis 149, 3 (1999), 229−270. Article MathSciNet
  • Jeroen S. W. Lamb and Ian Melbourne, Bifurcation from periodic solutions with spatiotemporal symmetry, in: Pattern formation in continuous and coupled systems (Minneapolis, MN, IMA Vol. Math. Appl., 175−191, Springer, New York, 1999. Article MathSciNet
  • Jeroen S. W. Lamb and R. Mark Roberts, Reversible equivariant linear systems, Journal of Differential Equations 159, 1 (1999), 239−279. Article MathSciNet
  • V. Pisarevskii, Andrey Shilnikov, and Dmitry Turaev, Asymptotic normal forms for equilibria with a triplet of zero characteristic exponents in systems with symmetry, in: Iteration theory (ECIT 96) (Urbino), Grazer Mathematische Berichte, 291−300, Karl-Franzens-Universität Graz, Graz, 1999. MathSciNet
  • Vered Rom-Kedar and Dmitry Turaev, Big islands in dispersing billiard-like potentials, Physica D 130, 3−4 (1999), 187−210. Article MathSciNet
  • Mikhail V. Shashkov and Dmitry Turaev, An existence theorem of smooth nonlocal center manifolds for systems close to a system with a homoclinic loop, Journal of Nonlinear Science 9, 5 (1999), 525−573. Article MathSciNet
1998
  • Leonid A. Bunimovich and Dmitry Turaev, Localized solutions in lattice systems and their bifurcations caused by spatial interactions, Nonlinearity 11, 6 (1998), 1539−1545. Article MathSciNet
  • Bernold Fiedler and Dmitry Turaev, Normal forms, resonances, and meandering tip motions near relative equilibria of Euclidean group actions, Archive for Rational Mechanics and Analysis 145, 2 (1998), 129−159. Article MathSciNet
  • Sergey V. Gonchenko, Leonid P. Shilnikov, and Dmitry Turaev, Elliptic periodic orbits near a homoclinic tangency in four-dimensional symplectic maps and Hamiltonian systems with three degrees of freedom, Regular and Chaotic Dynamics 3, 4 (1998), 3−26. Article MathSciNet
  • Jeroen S. W. Lamb, On the canonical projection method for one-dimensional quasicrystals and invertible substitution rules, Journal of Physics A 31, 18 (1998), L331−L336. Article MathSciNet
  • Jeroen S. W. Lamb, k-symmetry and return maps of spacetime symmetric flows, Nonlinearity 11, 3 (1998), 601−629. Article MathSciNet
  • Jeroen S. W. Lamb and Matthew Nicol, On symmetric attractors in reversible dynamical systems, Physica D 112, 1−2 (1998), 281−297. Article MathSciNet
  • Jeroen S. W. Lamb and John A. G. Roberts, Time-reversal symmetry in dynamical systems: a survey, Physica D 112, 1−2 (1998), 1−39. Article MathSciNet
  • Jeroen S. W. Lamb and Frank Wijnands, From multi-site to on-site transfer matrix models for self-similar chains, Journal of Statistical Physics 90, 1−2 (1998), 261−284. Article MathSciNet
  • Genadi Levin and Sebastian van Strien, Local connectivity of the Julia set of real polynomials, Annals of Mathematics 147, 3 (1998), 471−541. Article MathSciNet
  • V. Pisarevskii, Andrey Shilnikov, and Dmitry Turaev, Asymptotic normal forms for equilibria with a triplet of zero characteristic exponents in systems with symmetry, Regulyarnaya & Khaoticheskaya Dinamika. Regular & Chaotic Dynamics 3, 1 (1998), 19−27. MathSciNet
  • Leonid P. Shilnikov, Andrey L. Shilnikov, Dmitry V. Turaev, and Leon O. Chua, Methods of qualitative theory in nonlinear dynamics. Part I, World Scientific Series on Nonlinear Science. Series A: Monographs and Treatises 4, World Scientific, River Edge, New Jersey, 1998. Article MathSciNet
  • Dmitry Turaev and Vered Rom-Kedar, On smooth Hamiltonian flows limited to ergodic billiards, in: Chaos, kinetics and nonlinear dynamics in fluids and plasmas (Carry-Le Rouet, 1997), Lecture Notes in Phyics, 17−50, Springer, Berlin, 1998. Article MathSciNet
  • Dmitry Turaev and Vered Rom-Kedar, Elliptic islands appearing in near-ergodic flows, Nonlinearity 11, 3 (1998), 575−600. Article MathSciNet
  • Dmitry Turaev and Leonid P. Shilnikov, An example of a wild strange attractor, Rossiĭskaya Akademiya Nauk. Matematicheskiĭ Sbornik 189, 2 (1998), 137−160. Article MathSciNet
1997
  • Sergey V. Gonchenko, Leonid P. Shilnikov, Oleg V. Stenkin, and Dmitry Turaev, Bifurcations of systems with structurally unstable homoclinic orbits and moduli of omega-equivalence, Computers & Mathematics with Applications 34, 2−4 (1997), 111−142. Article MathSciNet
  • Sergey V. Gonchenko, Leonid P. Shilnikov, and Dmitry Turaev, Quasiattractors and homoclinic tangencies, Computers & Mathematics with Applications 34, 2−4 (1997), 195−227. Article MathSciNet
  • Sergey V. Gonchenko, Dmitry Turaev, Pierre Gaspard, and Gregoire Nicolis, Complexity in the bifurcation structure of homoclinic loops to a saddle-focus, Nonlinearity 10, 2 (1997), 409−423. Article MathSciNet
  • Sergey V. Gonchenko, Dmitry Turaev, and Leonid P. Shilnikov, On Newhouse domains of two-dimensional diffeomorphisms that are close to a diffeomorphism with a structurally unstable heteroclinic contour, Trudy Matematicheskogo Instituta Imeni V. A. Steklova. Rossiĭskaya Akademiya Nauk 216, Din. Sist. i Smezhnye Vopr. (1997), 76−125. MathSciNet
  • Jeroen S. W. Lamb, k-Symmetric maps modeling space-time symmetric flows, in: GROUP21, Physical Applications and Mathematical Aspects of Geometry, Groups, and Algebras, 865−870, World Scientific, Singapore, 1997.
  • Leonid P. Shilnikov and Dmitry Turaev, Super-homoclinic orbits and multi-pulse homoclinic loops in Hamiltonian systems with discrete symmetries, Regulyarnaya & Khaoticheskaya Dinamika. Regular & Chaotic Dynamics 2, 3−4 (1997), 126−138. MathSciNet
  • Leonid P. Shilnikov and Dmitry Turaev, Simple bifurcations leading to hyperbolic attractors, Computers & Mathematics with Applications 34, 2−4 (1997), 173−193. Article MathSciNet
1996
  • Henk Bruin, Gerhard Keller, Tomasz Nowicki, and Sebastian van Strien, Wild Cantor attractors exist, Annals of Mathematics 143, 1 (1996), 97−130. Article MathSciNet
  • Bernold Fiedler and Dmitry Turaev, Coalescence of reversible homoclinic orbits causes elliptic resonance, International Journal of Bifurcation and Chaos 6, 6 (1996), 1007−1027. Article MathSciNet
  • Roza Galeeva and Sebastian van Strien, Which families of l-modal maps are full?, Transactions of the American Mathematical Society 348, 8 (1996), 3215−3221. Article MathSciNet
  • Sergey V. Gonchenko, Leonid P. Shilnikov, and Dmitry Turaev, Bifurcations of two-dimensional diffeomorphisms with non-rough homoclinic contours, Journal of Technical Physics 37, 3−4 (1996), 349−352. MathSciNet
  • Sergey V. Gonchenko, Leonid P. Shilnikov, and Dmitry Turaev, Dynamical phenomena in systems with structurally unstable Poincaré homoclinic orbits, Chaos 6, 1 (1996), 15−31. Article MathSciNet
  • Sergey V. Gonchenko, Oleg V. Stenkin, and Dmitry Turaev, Complexity of homoclinic bifurcations and $\Omega$-moduli, International Journal of Bifurcation and Chaos 6, 6 (1996), 969−989. Article MathSciNet
  • Jeroen S. W. Lamb, Area-preserving dynamics that is not reversible, Physica A 228, 1−4 (1996), 344−365. Article MathSciNet
  • Jeroen S. W. Lamb, Local bifurcations in k-symmetric dynamical systems, Nonlinearity 9, 2 (1996), 537−557. Article MathSciNet
  • Jeroen S. W. Lamb and Matthew Nicol, On symmetric omega-limit sets in reversible flows, in: Nonlinear Dynamical Systems and Chaos, Progress in Nonlinear Differential Equations and Their Applications, 103−120, Birkhäuser, Basel, 1996. MathSciNet
  • Mikhail V. Shashkov and Dmitry V. Turaev, On the complex bifurcation set for a system with simple dynamics, International Journal of Bifurcation and Chaos 6, 5 (1996), 949−968. Article MathSciNet
  • Dmitry Turaev, On dimension reduction near homoclinic and heteroclinic cycles, Journal of Technical Physics 37, 3−4 (1996), 437−440. MathSciNet
  • Dmitry Turaev, On dimension of non-local bifurcational problems, International Journal of Bifurcation and Chaos 6, 5 (1996), 919−948. Article MathSciNet
  • Sebastian van Strien, Transitive maps which are not ergodic with respect to Lebesgue measure, Ergodic Theory and Dynamical Systems 16, 4 (1996), 833−848. Article MathSciNet
1995
  • Hanna Brands, Jeroen S. W. Lamb, and Igor Hoveijn, Periodic orbits in k-symmetric dynamical systems, Physica D 84, 3−4 (1995), 460−475. Article MathSciNet
  • Jeroen S. W. Lamb, Resonant driving and k-symmetry, Physics Letters A 199, 1−2 (1995), 55−60. Article MathSciNet
  • Jeroen S. W. Lamb and Hans W. Capel, Local bifurcations on the plane with reversing point group symmetry, Chaos, Solitons and Fractals 5, 2 (1995), 271−293. Article MathSciNet
  • Jeroen S. W. Lamb and G. Reinout W. Quispel, Cyclic reversing k-symmetry groups, Nonlinearity 8, 6 (1995), 1005−1026. Article MathSciNet
  • John A. G. Roberts and Jeroen S. W. Lamb, Self-similarity of period-doubling branching in 3-D reversible mappings, Physica D 82, 4 (1995), 317−332. Article MathSciNet
  • Dmitry Turaev and Leonid P. Shilnikov, Blue sky catastrophes, Rossiĭskaya Akademiya Nauk. Doklady Akademii Nauk 342, 5 (1995), 596−599. MathSciNet
  • Sebastian van Strien, Real bounds in complex dynamics, in: Real and complex dynamical systems, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 211−229, Kluwer Acad. Publ., Dordrecht, 1995. MathSciNet
1994
  • Jeroen S. W. Lamb, Stochastic webs with fourfold rotation symmetry, in: Hamiltonian Mechanics: Integrability and Chaotic Behaviour, NATO ASI Series B, 345−352, Plenum, New York, 1994. MathSciNet
  • Jeroen S. W. Lamb and Hanna Brands, Symmetries and reversing symmetries in kicked systems, in: Dynamics, Bifurcation and Symmetry, new Trends and new Tools, NATO ASI series C, 181−196, Kluwer, Dordrecht, 1994. MathSciNet
  • Jeroen S. W. Lamb and G. Reinout W. Quispel, Reversing k-symmetries in dynamical systems, Physica D 73, 4 (1994), 277−304. Article MathSciNet
  • G. Reinout W. Quispel and Jeroen S. W. Lamb, Dynamics and k-symmetries, in: Hamiltonian Mechanics: Integrability and Chaotic Behaviour, NATO ASI Series B, 307−314, Plenum, New York, 1994. MathSciNet
  • Zhi Ying Wen, Frank Wijnands, and Jeroen S. W. Lamb, A natural class of generalized Fibonacci chains, Journal of Physics A 27, 11 (1994), 3689−3706. Article MathSciNet
1993
  • Welington de Melo and Sebastian van Strien, One-dimensional dynamics, Ergebnisse der Mathematik und ihrer Grenzgebiete 25, Springer, Berlin, 1993. MathSciNet
  • Sergey V. Gonchenko, Leonid P. Shilnikov, and Dmitry Turaev, On models with nonrough Poincaré homoclinic curves, Physica D 62, 1−4 (1993), 1−14. Article MathSciNet
  • Sergey V. Gonchenko, Dmitry Turaev, and Leonid P. Shilnikov, Dynamical phenomena in multidimensional systems with a structurally unstable homoclinic Poincaré curve, Rossiĭskaya Akademiya Nauk. Doklady Akademii Nauk 330, 2 (1993), 144−147. MathSciNet
  • Sergey V. Gonchenko, Dmitry Turaev, and Leonid P. Shilnikov, On the existence of Newhouse regions in a neighborhood of systems with a structurally unstable homoclinic Poincaré curve (the multidimensional case), Rossiĭskaya Akademiya Nauk. Doklady Akademii Nauk 329, 4 (1993), 404−407. MathSciNet
  • Jeroen S. W. Lamb, Crystallographic symmetries of stochastic webs, Journal of Physics A 26(1993), 2921−2933.
  • Jeroen S. W. Lamb, John A. G. Roberts, and Hans W. Capel, Conditions for local (reversing) symmetries in dynamical systems, Physica A 197, 3 (1993), 379−422. Article MathSciNet
  • Andrey L. Shilnikov, Leonid P. Shilnikov, and Dmitry Turaev, Normal forms and Lorenz attractors, International Journal of Bifurcation and Chaos 3, 5 (1993), 1123−1139. Article MathSciNet
1992
  • Alexander S. Dmitriev, Yuri A. Komlev, and Dmitry Turaev, Bifurcation phenomena in the 1:1 resonant horn for the forced van der Pol-Duffing equation, International Journal of Bifurcation and Chaos 2, 1 (1992), 93−100. Article MathSciNet
  • Jeroen S. W. Lamb, Reversing symmetries in dynamical systems, Journal of Physics A 25, 4 (1992), 925−937. Article MathSciNet
  • Jeroen S. W. Lamb, The ferro-antiferro bifurcation transition in a microscopic model with incommensurate phases, Journal of Physics A 25(1992), 355−365.
  • Marco Martens, Welington de Melo, and Sebastian van Strien, Julia-Fatou-Sullivan theory for real one-dimensional dynamics, Acta Mathematica 168, 3−4 (1992), 273−318. Article MathSciNet
1991
  • Henk Broer, Freddy Dumortier, Sebastian van Strien, and Floris Takens, Structures in dynamics, Studies in Mathematical Physics 2, North-Holland Publishing Co., Amsterdam, 1991. MathSciNet
  • Sergey V. Gonchenko, Dmitry Turaev, and Leonid P. Shilnikov, On models with a structurally unstable homoclinic Poincaré curve, in: Methods in qualitative theory and bifurcation theory (Russian), 36−61, Nizhegorod. Gos. Univ., Nizhniy Novgorod, 1991. MathSciNet
  • Sergey V. Gonchenko, Dmitry Turaev, and Leonid P. Shilnikov, Models with a structurally unstable homoclinic Poincaré curve, Doklady Akademii Nauk SSSR 320, 2 (1991), 269−272. MathSciNet
  • Tomasz Nowicki and Sebastian van Strien, Invariant measures exist under a summability condition for unimodal maps, Inventiones Mathematicae 105, 1 (1991), 123−136. Article MathSciNet
1990
  • Jean-Marc Gambaudo, Sebastian van Strien, and Charles Tresser, Vers un ordre de Sarkovskiĭ pour les plongements du disque préservant l'orientation, Comptes Rendus de l'Académie des Sciences. Série I. Mathématique 310, 5 (1990), 291−294. MathSciNet
  • Marco Martens, Sebastian van Strien, Welington de Melo, and Pedro Mendes, On Cherry flows, Ergodic Theory and Dynamical Systems 10, 3 (1990), 531−554. Article MathSciNet
  • Tomasz Nowicki and Sebastian van Strien, Nonhyperbolicity and invariant measures for unimodal maps, Annales de l'Institut Henri Poincaré. Physique Théorique 53, 4 (1990), 427−429. Article MathSciNet
  • Tomasz Nowicki and Sebastian van Strien, Hyperbolicity properties of C^2 multi-modal Collet-Eckmann maps without Schwarzian derivative assumptions, Transactions of the American Mathematical Society 321, 2 (1990), 793−810. Article MathSciNet
  • Sebastian van Strien, One-dimensional versus two-dimensional dynamics, in: Open problems in topology, 645−654, North-Holland, Amsterdam, 1990. MathSciNet
  • Sebastian van Strien, Smooth linearization of hyperbolic fixed points without resonance conditions, Journal of Differential Equations 85, 1 (1990), 66−90. Article MathSciNet
  • Sebastian van Strien, Hyperbolicity and invariant measures for general C^2 interval maps satisfying the Misiurewicz condition, Communications in Mathematical Physics 128, 3 (1990), 437−495. Article MathSciNet
1989
  • Patrick Bonckaert, Freddy Dumortier, and Sebastian van Strien, Singularities of vector fields on R^3 determined by their first nonvanishing jet, Ergodic Theory and Dynamical Systems 9, 2 (1989), 281−308. Article MathSciNet
  • Welington de Melo and Sebastian van Strien, A structure theorem in one-dimensional dynamics, Annals of Mathematics 129, 3 (1989), 519−546. Article MathSciNet
  • Vladimir M. Eleonskiĭ, Nikolai E. Kulagin, Dmitry Turaev, and Leonid P. Shilnikov, Classification of self-localized states of an electromagnetic field in a nonlinear medium, Doklady Akademii Nauk SSSR 309, 4 (1989), 848−852. MathSciNet
  • Jean-Marc Gambaudo, Sebastian van Strien, and Charles Tresser, The periodic orbit structure of orientation preserving diffeomorphisms on D^2 with topological entropy zero, Annales de l'Institut Henri Poincaré. Physique Théorique 50, 3 (1989), 335−356. Article MathSciNet
  • Jean-Marc Gambaudo, Sebastian van Strien, and Charles Tresser, Hénon-like maps with strange attractors: there exist C^\infty Kupka-Smale diffeomorphisms on S^2 with neither sinks nor sources, Nonlinearity 2, 2 (1989), 287−304. Article MathSciNet
  • Dmitry Turaev and Leonid P. Shilnikov, Hamiltonian systems with homoclinic saddle curves, Doklady Akademii Nauk SSSR 304, 4 (1989), 811−814. MathSciNet
1988
  • Welington de Melo and Sebastian van Strien, One-dimensional dynamics: the Schwarzian derivative and beyond, Bulletin of the American Mathematical Society 18, 2 (1988), 159−162. Article MathSciNet
  • Tomasz Nowicki and Sebastian van Strien, Absolutely continuous invariant measures for C^2 unimodal maps satisfying the Collet-Eckmann conditions, Inventiones Mathematicae 93, 3 (1988), 619−635. Article MathSciNet
  • Dmitry Turaev, Bifurcations of a homoclinic figure eight of a multidimensional saddle, Akademiya Nauk SSSR i Moskovskoe Matematicheskoe Obshchestvo. Uspekhi Matematicheskikh Nauk 43, 5(263) (1988), 223−224. Article MathSciNet
  • Sebastian van Strien, Smooth dynamics on the interval (with an emphasis on quadratic-like maps), in: New directions in dynamical systems, London Math. Soc. Lecture Note Ser., 57−119, Cambridge Univ. Press, Cambridge, 1988. MathSciNet
  • Sebastian van Strien, Linearisation along invariant manifolds and a generalisation of the Hartman-Grobman theorems for degenerate singularities of vectorfields in R^3, Delft Progress Report 12, 1 (1988), 107−124. MathSciNet
1987
  • Welington de Melo and Sebastian van Strien, Diffeomorphisms on surfaces with a finite number of moduli, Ergodic Theory and Dynamical Systems 7, 3 (1987), 415−462. Article MathSciNet
  • Sebastian van Strien, Normal hyperbolicity and linearisability, Inventiones Mathematicae 87, 2 (1987), 377−384. Article MathSciNet
  • Sebastian van Strien and Geovan Tavares dos Santos, Moduli of stability for germs of homogeneous vectorfields on R^3, Journal of Differential Equations 69, 1 (1987), 63−84. Article MathSciNet
1986
  • Dmitry Turaev and Leonid P. Shilnikov, Bifurcations of quasi-attractors of torus-chaos, in: Mathematical mechanisms of turbulence (Russian), 113−121, iii, Akad. Nauk Ukrain. SSR Inst. Mat., Kiev, 1986. MathSciNet
  • Dmitry Turaev and Leonid P. Shilnikov, Bifurcation of a homoclinic figure eight saddle with a negative saddle value, Doklady Akademii Nauk SSSR 290, 6 (1986), 1301−1304. MathSciNet
1985
  • Dmitry Turaev, Bifurcations of two-dimensional dynamical systems that are close to a system with two separatrix loops, Akademiya Nauk SSSR i Moskovskoe Matematicheskoe Obshchestvo. Uspekhi Matematicheskikh Nauk 40, 2(242) (1985), 203−204. MathSciNet
1984
  • Dmitry Turaev, A case of bifurcation from a contour formed by homoclinic curves emerging from a saddle, in: Methods of the qualitative theory of differential equations (Russian), 162−175, 203, Gorkov. Gos. Univ., Gorki, 1984. MathSciNet
1983
  • Henk Broer and Sebastian van Strien, Infinitely many moduli of strong stability in divergence free unfoldings of singularities of vector fields, in: Geometric dynamics, Lecture Notes in Mathematics, 39−59, Springer, Berlin, 1983. Article MathSciNet
1981
  • Welington de Melo, Jacob Palis, and Sebastian van Strien, Characterising diffeomorphisms with modulus of stability one, in: Dynamical systems and turbulence, Lecture Notes in Mathematics, 266−285, Springer, Berlin, 1981. MathSciNet
  • Sebastian van Strien, Saddle connections of arcs of diffeomorphisms: moduli of stability, in: Dynamical systems and turbulence, Lecture Notes in Mathematics, 352−365, Springer, Berlin, 1981. MathSciNet
  • Sebastian van Strien, On the bifurcations creating horseshoes, in: Dynamical systems and turbulence, Lecture Notes in Mathematics, 316−351, Springer, Berlin, 1981. MathSciNet
1980
  • Sebastian van Strien, Unicity of the Lie product, Compositio Mathematica 40, 1 (1980), 79−85. Article MathSciNet
1979
  • Sebastian van Strien, Center manifolds are not C^\infty, Mathematische Zeitschrift 166, 2 (1979), 143−145. Article MathSciNet