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Proceedings Paper

Theory for the drastic facilitation of the onset of global chaos between separatrices of a Hamilton system
Author(s): Stanislav M. Soskin; Oleg M. Yevtushenko; Riccardo Mannella
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Paper Abstract

We present a heuristic theory describing the recently discovered [PRL 90, 17410 (2003)] drastic facilitation of the onset of global chaos in time periodically perturbed Hamiltonian systems possessing two or more separatrices: the minimal magnitude of the perturbation which provides chaos in the whole energy range between the separatrices possesses deep spikes as a function of the perturbation frequency. The relevant scenario is the combination of the overlap in the phase space between resonances of the same order and their overlap in energy with chaotic layers associated with the separatrices. We discuss a few applications: the increase of the dc conductivity of the 2D electron gas in a magnetic superlattice, the decrease of the activation barrier in the problem of noise-induced escape, the facilitation of the stochastic web formation in time periodically perturbed oscillators.

Paper Details

Date Published: 25 May 2004
PDF: 12 pages
Proc. SPIE 5471, Noise in Complex Systems and Stochastic Dynamics II, (25 May 2004); doi: 10.1117/12.546938
Show Author Affiliations
Stanislav M. Soskin, Institute of Semiconductor Physics (Ukraine)
Lancaster Univ. (United Kingdom)
Oleg M. Yevtushenko, Abdus Salam International Ctr. for Theoretical Physics (Italy)
Riccardo Mannella, Lancaster Univ. (United Kingdom)
Univ. de Pisa, INFM (Italy)


Published in SPIE Proceedings Vol. 5471:
Noise in Complex Systems and Stochastic Dynamics II
Zoltan Gingl, Editor(s)

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