Hypothesis of strong chaos and anomalous diffusion in coupled symplectic maps
| dc.creator | Altmann, Eduardo G. | |
| dc.creator | Kantz, Holger | |
| dc.date | 2006-09-18 | |
| dc.date | 2007-03-23 | |
| dc.date.accessioned | 2026-07-07T07:53:16Z | |
| dc.date.available | 2026-07-07T07:53:16Z | |
| dc.description | 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 {\em 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 $γ=0.5$) 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 high-dimensional Hamiltonian systems asymptotically fulfill the demands of the usual hypotheses of strong chaos. | |
| dc.description | 5 pages, 3 figures. Revised version with small changes | |
| dc.identifier | https://arxiv.org/abs/nlin/0609046 | |
| dc.identifier | http://arxiv.org/abs/nlin/0609046 | |
| dc.identifier | Europhys. Lett. 78, 10008 (2007) | |
| dc.identifier | doi:10.1209/0295-5075/78/10008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126191 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Hypothesis of strong chaos and anomalous diffusion in coupled symplectic maps | |
| dc.type | text |