Generalized Attractor-Repeller Pairs, Diagonalizability and Integral Separation

DOI10.1515/ans-2004-0204zbMath1077.37020OpenAlexW2507241483MaRDI QIDQ4822595

Stefan Siegmund, Kenneth James Palmer

Publication date: 25 October 2004

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2004-0204

zbMATH Keywords

diagonalizabilitynonautonomous linear systemskinematic similarityhullexponential separationnonlinear flows

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Attractors of solutions to ordinary differential equations (34D45) Topological dynamics of nonautonomous systems (37B55) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Related Items (2)

All-time Morse decompositions of linear nonautonomous dynamical systems ⋮ Dichotomy spectra and Morse decompositions of linear nonautonomous differential equations

Cites Work

• Exponential dichotomy, integral separation and diagonalizability of linear systems of ordinary differential equations
• Exponential separation, exponential dichotomy and spectral theory for linear systems of ordinary differential equations
• Existence of dichotomies and invariant splittings for linear differential systems. I
• Existence of dichotomies and invariant splittings for linear differential systems. III
• Existence of dichotomies and invariant splittings for linear differential systems. II
• Lyapunov Spectral Intervals: Theory and Computation

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