The Morse spectrum of linear flows on vector bundles

DOI10.1090/S0002-9947-96-01524-3zbMath0864.58051OpenAlexW1882052079MaRDI QIDQ3837644

Wolfgang Kliemann, Fritz Colonius

Publication date: 10 December 1996

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-96-01524-3

zbMATH Keywords

Lyapunov exponentsergodic theoryhyperbolic flowsdichotomy spectrumshadowing lemmaFloquet spectrumtopological spectrumChain recurrenceOseledec spectrum

Mathematics Subject Classification ID

Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Dynamics induced by flows and semiflows (37C10)

Related Items

Lyapunov stability on fiber bundles, Attraction and Lyapunov stability for control systems on vector bundles, On the global behavior of linear flows, Morse decompositions of nonautonomous dynamical systems, An alternative approach to Sacker–Sell spectral theory, Growth rates for semiflows on Hausdorff spaces, MORSE SPECTRUM FOR NONAUTONOMOUS DIFFERENTIAL EQUATIONS, Morse and Lyapunov spectra and dynamics on flag bundles, The Lyapunov spectrum of families of time-varying matrices, On some qualitative properties of monotone linear extensions of dynamical systems, Topological fiber entropy for linear flows on vector bundles, Chain recurrence, growth rates and ergodic limits, Smoothness of the carrying simplex for discrete-time competitive dynamical systems: A characterization of neat embedding, Spectral Theory for Perturbed Systems, Semilinear Control Systems with Symmetry

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