Publications – Dynamical Systems at Imperial College London (DynamIC)

Moussa Ndour, Kathrin Padberg-Gehle, and Martin Rasmussen, Spectral early-warning signals for sudden changes in time-dependent flow patterns., Fluids 6(2021), 49. Article Preprint

2020

Peter Giesl, Boumediene Hamzi, Martin Rasmussen, and Kevin Webster, Approximation of Lyapunov functions from noisy data, Journal of Computational Dynamics 7, 1 (2020), 57−81. Article MathSciNet Preprint

2018

Maciej J. Capiński, Dmitry Turaev, and Piotr Zgliczyński, Computer assisted proof of the existence of the Lorenz attractor in the Shimizu-Morioka system, Nonlinearity 31, 12 (2018), 5410−5440. Article MathSciNet

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 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

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