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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
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
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Ergodic theory
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Holomorphic dynamics
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Nonautonomous dynamical systems
Pattern formation
Random dynamical systems
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Computational dynamics

Preprints
  • Peter Giesl, Boumediene Hamzi, Martin Rasmussen, and Kevin N. Webster, Approximation of Lyapunov functions from noisy data. DynamIC Preprint 2016-1
2017
  • 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
  • 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
2012
  • 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
2011
  • Alexandre Eremenko and Sebastian van Strien, Rational maps with real multipliers, Transactions of the American Mathematical Society 363, 12 (2011), 6453−6463. Article MathSciNet
2010
  • 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
2009
  • Christian Pötzsche and Martin Rasmussen, Computation of nonautonomous invariant and inertial manifolds, Numerische Mathematik 112, 3 (2009), 449−483. Article MathSciNet
2008
  • 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
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
  • Christian Pötzsche and Martin Rasmussen, Taylor approximation of integral manifolds, Journal of Dynamics and Differential Equations 18, 2 (2006), 427−460. Article MathSciNet
2005
  • 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
  • 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
  • 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