Approximation of attractors of nonautonomous dynamical systems

DOI10.3934/dcdsb.2005.5.215zbMath1076.37011OpenAlexW2044632218MaRDI QIDQ558579

Martin Rasmussen, Stefan Siegmund, Aulbach, Bernd

Publication date: 1 July 2005

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2005.5.215

zbMATH Keywords

attractorsnumerical algorithmsnonautonomous difference equationDuffing-Van der Pol oscillator

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Additive difference equations (39A10) Attractors of solutions to ordinary differential equations (34D45) Topological dynamics of nonautonomous systems (37B55) Approximation methods and numerical treatment of dynamical systems (37M99)

Related Items (11)

Asymptotic behavior of the non-autonomous 3D Navier-Stokes problem with coercive force ⋮ Provably convergent implementations of the subdivision algorithm for the computation of invariant objects ⋮ Asymptotic behavior of a class of non-autonomous degenerate parabolic equations ⋮ Taylor approximation of invariant fiber bundles for nonautonomous difference equations ⋮ Strong Li–Yorke Chaos for Time-Varying Discrete Dynamical Systems with A-Coupled-Expansion ⋮ Non-autonomous attractors for singularly perturbed parabolic equations on \(\mathbb R^n\) ⋮ Taylor approximation of integral manifolds ⋮ Chaos of time-varying discrete dynamical systems ⋮ Pullback attractors for the non-autonomous FitzHugh-Nagumo system on unbounded domains ⋮ Algorithmic computation of the Conley index ⋮ Pullback attractors for non-autonomous reaction-diffusion equations on \(\mathbb R^n\)

Uses Software

• GAIO

This page was built for publication: Approximation of attractors of nonautonomous dynamical systems