Volume 78, Number 1, April 2007
|Number of page(s)||5|
|Published online||16 March 2007|
Hypothesis of strong chaos and anomalous diffusion in coupled symplectic maps
Max Planck Institute for the Physics of Complex Systems - Nöthnitzer Strasse 38, 01187 Dresden, Germany
Accepted: 19 February 2007
We investigate the high-dimensional Hamiltonian chaotic dynamics in N coupled area-preserving maps. We show the existence of an enhanced trapping regime caused by trajectories performing a random walk inside the area corresponding to regular islands of the uncoupled maps. As a consequence, we observe long intermediate regimes of power law decay of the recurrence time statistics (with exponent ) and of ballistic motion. The asymptotic decay of correlations and anomalous diffusion depend on the stickiness of the N-dimensional invariant tori. Detailed numerical simulations show weaker stickiness for increasing N suggesting that such paradigmatic class of Hamiltonian systems asymptotically fulfill the demands of the usual hypotheses of strong chaos.
PACS: 05.45.Jn – High-dimensional chaos / 05.40.Fb – Random walks and Levy flights / 05.60.Cd – Classical transport
© Europhysics Letters Association, 2007
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