The Arnold cat map, the Ulam method and time reversal

DOI10.1016/J.PHYSD.2011.11.012zbMath1236.37023arXiv1107.0437OpenAlexW3028629685WikidataQ62593613 ScholiaQ62593613MaRDI QIDQ2428003

L. Ermann, Dima L. Shepelyansky

Publication date: 19 April 2012

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.0437

zbMATH Keywords

Markov chainsdynamical chaosstatistical description

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems involving maps of the interval (37E05) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

Related Items (1)

Eigenfunctions of the Perron–Frobenius operator and the finite-time Lyapunov exponents in uniformly hyperbolic area-preserving maps

Cites Work

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• Towards Google matrix of brain
• Ulam method and fractal Weyl law for Perron-Frobenius operators
• Ulam method for the Chirikov standard map
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• Quantum chaos: Localization vs. ergodicity
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• Finite approximation for the Frobenius-Perron operator. A solution to Ulam's conjecture
• Molecular dynamics and time reversibility
• Rigorous numerical approximation of Ruelle–Perron–Frobenius operators and topological pressure of expanding maps
• Introduction to Dynamical Systems
• Ruelle Perron Frobenius spectrum for Anosov maps

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