Do Chaotic Trajectories Care About Self-Similarity?

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We investigate the relation between the chaotic dynamics and the hierarchical phase-space structure of generic Hamiltonian systems. We demonstrate that even in ideal situations when the phase space is dominated by an exactly self-similar structure, the long-time dynamics is {\it not} dominated by this structure. This has consequences for the power-law decay of correlations and Poincaré recurrences.
4 pages, 3 figures, minor corrections to previous version

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Chaotic Dynamics

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http://salesiana.dossiersoluciones.com/handle/123456789/80032

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0106021
 http://arxiv.org/abs/nlin/0106021

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arXiv