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Do Chaotic Trajectories Care About Self-Similarity?

M. Weiss·L. Hufnagel·R. Ketzmerick
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Abstract

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.

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M. Weiss, L. Hufnagel, R. Ketzmerick. 2001-09-06. Do Chaotic Trajectories Care About Self-Similarity?. https://arxiv.org/abs/nlin/0106021

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