Do Chaotic Trajectories Care About Self-Similarity?
Chaotic Dynamics
2007-05-23 v2
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 Poincar\'e recurrences.
Keywords
Cite
@article{arxiv.nlin/0106021,
title = {Do Chaotic Trajectories Care About Self-Similarity?},
author = {M. Weiss and L. Hufnagel and R. Ketzmerick},
journal= {arXiv preprint arXiv:nlin/0106021},
year = {2007}
}
Comments
4 pages, 3 figures, minor corrections to previous version