Spectrum of a dynamical system and applied symbolic dynamics

DOI10.1006/jmaa.2000.7004zbMath0984.37012OpenAlexW2062936892MaRDI QIDQ1840532

George Osipenko

Publication date: 12 May 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7004

zbMATH Keywords

symbolic dynamicsMorse spectrum

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Symbolic dynamics (37B10) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

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Cites Work

• Cell-to-cell mapping. A method of global analysis for nonlinear systems
• Existence of dichotomies and invariant splittings for linear differential systems. I
• A spectral theory for linear differential systems
• Indestructibility of invariant locally non-unique manifolds
• Linearization near a locally nonunique invariant manifold
• Flows on Vector Bundles and Hyperbolic Sets
• Filtrations, Decompositions, and Explosions
• Isolated Invariant Sets for Flows on Vector Bundles
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