Do Chaotic Trajectories Care About Self-Similarity?
M. Weiss, L. Hufnagel, R. Ketzmerick
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 not dominated by this structure. This has consequences for the power-law decay of correlations and Poincaré recurrences.
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