MORSE SPECTRUM FOR NONAUTONOMOUS DIFFERENTIAL EQUATIONS

DOI10.1142/S0219493708002342zbMath1152.37012OpenAlexW1979185112MaRDI QIDQ3545966

Martin Rasmussen, Fritz Colonius, Peter E. Kloeden

Publication date: 11 December 2008

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219493708002342

zbMATH Keywords

Lyapunov exponentMorse decompositionnonautonomous set

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Nonautonomous smooth dynamical systems (37C60)

Related Items (3)

An alternative approach to Sacker–Sell spectral theory ⋮ NONAUTONOMOUS BIFURCATION OF BOUNDED SOLUTIONS: CROSSING CURVE SITUATIONS ⋮ Dichotomy spectra and Morse decompositions of linear nonautonomous differential equations

Cites Work

• Attractivity and bifurcation for nonautonomous dynamical systems
• A uniform exponential spectrum for linear flows on vector bundles
• The Morse spectrum of linear flows on vector bundles
• Morse decompositions of nonautonomous dynamical systems
• All-time Morse decompositions of linear nonautonomous dynamical systems
• Pullback attractors in dissipative nonautonomous differential equations under discretization

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