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  Jeroen Lamb  
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  Sebastian van Strien  
Mike Field
Fabrizio Bianchi
Trevor Clark
Alexandre De Zotti
Nikos Karaliolios
Dongchen Li
Sina Türeli
Björn Winckler
Alex Athorne
Sajjad Bakrani Balani
Giulia Carigi
Andrew Clarke
Federico Graceffa
Michael Hartl
Giuseppe Malavolta
Guillermo Olicón Méndez
Cezary Olszowiec
Christian Pangerl
Mohammad Pedramfar
Kalle Timperi
Shangzhi Li
Ole Peters
Camille Poignard
Cristina Sargent
Bill Speares
Sofia Trejo Abad
Kevin Webster
Mauricio Barahona
Davoud Cheraghi
Martin Hairer
Darryl Holm
Xue-Mei Li
Greg Pavliotis


Complete List

Bifurcation Theory
Computational dynamics
Ergodic theory
Game theory
Hamiltonian systems
Holomorphic dynamics
Homoclinic tangencies
Infinite-dimensional systems
Low-dimensional dynamical systems
Nonautonomous dynamical systems
Pattern formation
Random dynamical systems
Slow-fast systems

Random dynamical systems

  • Maximilian Engel, Jeroen S. W. Lamb, and Martin Rasmussen, Conditioned Lyapunov exponents for random dynamical systems. DynamIC Preprint 2018-7
  • Thai Son Doan, Jeroen S.W. Lamb, Julian Newman, and Martin Rasmussen, Classification of random circle homeomorphisms up to topological conjugacy. DynamIC Preprint 2018-3
  • Christian Kuehn, Giuseppe Malavolta, and Martin Rasmussen, Early-warning signals for bifurcations in random dynamical systems with bounded noise, to appear in: Journal of Mathematical Analysis and Applications. DynamIC Preprint 2018-2
  • Thai Son Doan, Maximilian Engel, Jeroen S.W. Lamb, and Martin Rasmussen, Hopf bifurcation with additive noise. DynamIC Preprint 2017-2
  • Maximilian Engel, Jeroen S. W. Lamb, and Martin Rasmussen, Bifurcation analysis of a stochastically driven limit cycle. DynamIC Preprint 2016-6
  • Peter Giesl, Boumediene Hamzi, Martin Rasmussen, and Kevin N. Webster, Approximation of Lyapunov functions from noisy data. DynamIC Preprint 2016-1
  • 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
  • Tiago Pereira, Sebastian van Strien, and Jeroen S. W. Lamb, Dynamics of coupled maps in heterogeneous random networks. DynamIC Preprint 2013-1
  • 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, Annales de l'Institut Henri Poincaré Probabilités et Statistiques 53, 4 (2017), 1548−1574. 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
  • Vasso Anagnostopoulou, Tobias Jäger, and Gerhard Keller, A model for the nonautonomous Hopf bifurcation, Nonlinearity 28, 7 (2015), 2587−2616. 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
  • 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
  • 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
  • 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
  • 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 and Stefan Siegmund, Differential equations with random delay, in: Infinite dimensional dynamical systems, Fields Institute Communications, 279−303, Springer, New York, 2013. 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
  • 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
  • Vasso Anagnostopoulou and Tobias Jäger, Nonautonomous saddle-node bifurcations: random and deterministic forcing, Journal of Differential Equations 253, 2 (2012), 379−399. Article MathSciNet
  • Fritz Colonius, Thorsten Hüls, and Martin Rasmussen, Connecting orbits in perturbed systems, Nonlinear Dynamics 59, 4 (2010), 569−578. 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
  • 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