An alternative approach to Sacker–Sell spectral theory

DOI10.1080/10236190902832744zbMath1222.39010OpenAlexW1973782127MaRDI QIDQ5305979

Martin Rasmussen

Publication date: 24 March 2010

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190902832744

zbMATH Keywords

attractorLyapunov exponentrepellerMorse decompositionSacker-Sell spectrumMorse spectrumsystems of linear nonautonomous difference equations

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Discrete version of topics in analysis (39A12) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Linear difference equations (39A06)

Related Items (3)

The dichotomy spectrum for random dynamical systems and pitchfork bifurcations with additive noise ⋮ The Selgrade decomposition for linear semiflows on Banach spaces ⋮ Ruelle-Pollicott resonances of stochastic systems in reduced state space. Part II: Stochastic Hopf bifurcation

Cites Work

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• MORSE SPECTRUM FOR NONAUTONOMOUS DIFFERENTIAL EQUATIONS
• Morse and Lyapunov spectra and dynamics on flag bundles
• The Morse spectrum of linear flows on vector bundles
• Positive solutions to boundary value problems for nonlinear difference equations
• Morse decompositions of nonautonomous dynamical systems
• All-time Morse decompositions of linear nonautonomous dynamical systems
• The dynamics of control. With an appendix by Lars Grüne

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