Phys. Rev. E 67, 046209 (2003) [6 pages]Can simple renormalization theories describe the trapping of chaotic trajectories in mixed systems?Received 18 April 2002; published 21 April 2003 We investigate the relation between the chaotic dynamics and the hierarchical phase-space structure of the standard map as an example for generic Hamiltonian systems with a mixed phase space. We demonstrate that even in ideal situations when the phase-space structure is dominated by a single scaling, the long-time dynamics is not dominated by this scaling. This has consequences for the power-law decay of correlations and Poincaré recurrences. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.67.046209
DOI:
10.1103/PhysRevE.67.046209
PACS:
05.45.Mt
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