On the approximation of Lyapunov exponents and a question suggested by Anatole Katok

DOI10.1088/0951-7715/23/3/004zbMath1189.37093OpenAlexW2007436537MaRDI QIDQ3550002

Xiongping Dai

Publication date: 30 March 2010

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/23/3/004

zbMATH Keywords

Lyapunov exponentsLyapunov functionsdiffeomorphismshyperbolicitymultiplicative ergodic theorysmooth mappings and diffeomorphismscharacteristic and Lyapunov exponents

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

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