All-time Morse decompositions of linear nonautonomous dynamical systems

DOI10.1090/S0002-9939-07-09071-5zbMath1128.37012MaRDI QIDQ5438478

Martin Rasmussen

Publication date: 23 January 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

projective spaceattractorrepellerattractor-repeller pairMorse decompositionnonautonomous dynamical systemMorse set

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Asymptotic properties of solutions to ordinary differential equations (34D05) Index theory for dynamical systems, Morse-Conley indices (37B30) Topological dynamics of nonautonomous systems (37B55)

Related Items (8)

An alternative approach to Sacker–Sell spectral theory ⋮ Finest Morse decompositions for semigroup actions on fiber bundles ⋮ Dynamic Morse decompositions for semigroups of homeomorphisms and control systems ⋮ Morse decompositions for nonautonomous general dynamical systems ⋮ MORSE SPECTRUM FOR NONAUTONOMOUS DIFFERENTIAL EQUATIONS ⋮ On the number of maximal chain transitive sets in fiber bundles ⋮ On Morse decompositions of control systems ⋮ Dichotomy spectra and Morse decompositions of linear nonautonomous differential equations

Cites Work

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• Morse decompositions of nonautonomous dynamical systems
• Isolated Invariant Sets for Flows on Vector Bundles
• The dynamics of control. With an appendix by Lars Grüne
• Dichotomy spectrum for nonautonomous differential equations

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