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Type: Artigo de periódico
Title: Lyapunov statistics and mixing rates for intermittent systems
Author: Pires, CJA
Saa, A
Venegeroles, R
Abstract: We consider here a recent conjecture stating that correlation functions and tail probabilities of finite time Lyapunov exponents would have the same power law decay in weakly chaotic systems. We demonstrate that this conjecture fails for a generic class of maps of the Pomeau-Manneville type. We show further that, typically, the decay properties of such tail probabilities do not provide significant information on key aspects of weakly chaotic dynamics such as ergodicity and instability regimes. Our approaches are firmly based on rigorous results, particularly the Aaronson-Darling-Kac theorem, and are also confirmed by exhaustive numerical simulations.
Country: EUA
Editor: Amer Physical Soc
Rights: aberto
Identifier DOI: 10.1103/PhysRevE.84.066210
Date Issue: 2011
Appears in Collections:Unicamp - Artigos e Outros Documentos

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