Invariant manifolds as pullback attractors of nonautonomous differential equations

DOI10.3934/dcds.2006.15.579zbMath1286.34068OpenAlexW2003874997MaRDI QIDQ874709

Martin Rasmussen, Stefan Siegmund, Aulbach, Bernd

Publication date: 10 April 2007

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

Full work available at URL: https://doi.org/10.3934/dcds.2006.15.579

zbMATH Keywords

invariant manifoldpullback attractornonautonomous differential equationnumerical approximation.

Mathematics Subject Classification ID

Invariant manifold theory for dynamical systems (37D10) Invariant manifolds for ordinary differential equations (34C45) Attractors of solutions to ordinary differential equations (34D45) Nonautonomous smooth dynamical systems (37C60)

Related Items (6)

On the Approximation of Stable and Unstable Fiber Bundles of (Non)Autonomous ODEs — A Contour Algorithm ⋮ Underlying one-step methods and nonautonomous stability of general linear methods ⋮ Rate-induced tipping: thresholds, edge states and connecting orbits ⋮ Normal forms and invariant manifolds for nonlinear, non-autonomous PDEs, viewed as ODEs in infinite dimensions ⋮ Tracking particles in flows near invariant manifolds via balance functions ⋮ Nonautonomous perturbations of Morse-Smale semigroups: stability of the phase diagram

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