Calculation of Lyapunov Exponents by Applied Symbolic Dynamics Methods

DOI10.1515/IJNSNS.2001.2.1.53zbMath1067.37009MaRDI QIDQ4678192

George Osipenko

Publication date: 23 May 2005

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

Lyapunov exponentprojective bundlechain recurrent setMorse spectrumsymbolic image

Mathematics Subject Classification ID

Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Symbolic dynamics (37B10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Cites Work

• Existence of dichotomies and invariant splittings for linear differential systems. I
• Indestructibility of invariant locally non-unique manifolds
• Linearization near a locally nonunique invariant manifold

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