Dichotomy spectra and Morse decompositions of linear nonautonomous differential equations

DOI10.1016/j.jde.2008.12.022zbMath1177.34070OpenAlexW2046648766MaRDI QIDQ1011469

Martin Rasmussen

Publication date: 8 April 2009

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/619

zbMATH Keywords

exponential dichotomyattractorrepellerattractor-repeller pairMorse decompositiondichotomy spectrumnonautonomous dynamical system

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Asymptotic properties of solutions to ordinary differential equations (34D05) 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

An alternative approach to Sacker–Sell spectral theory ⋮ Necessary and sufficient conditions for assignability of dichotomy spectra of continuous time-varying linear systems ⋮ The Bohl spectrum for linear nonautonomous differential equations ⋮ The dichotomy spectrum for random dynamical systems and pitchfork bifurcations with additive noise ⋮ Perron type theorems for skew-evolution semiflows ⋮ Morse decompositions for nonautonomous general dynamical systems ⋮ All-time Morse decompositions of linear nonautonomous dynamical systems ⋮ The Selgrade decomposition for linear semiflows on Banach spaces ⋮ Ruelle-Pollicott resonances of stochastic systems in reduced state space. Part II: Stochastic Hopf bifurcation

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