New approach to the treatment of separatrix chaos and its application to the global chaos onset between adjacent separatrices

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dc.creatorSoskin, S. M.
dc.creatorMannella, R.
dc.creatorYevtushenko, O. M.
dc.date2006-12-13
dc.date2007-10-31
dc.date.accessioned2026-07-07T08:39:34Z
dc.date.available2026-07-07T08:39:34Z
dc.descriptionWe have developed the {\it general method} for the description of {\it separatrix chaos}, basing on the analysis of the separatrix map dynamics. Matching it with the resonant Hamiltonian analysis, we show that, for a given amplitude of perturbation, the maximum width of the chaotic layer in energy may be much larger than it was assumed before. We apply the above theory to explain the drastic facilitation of global chaos onset in time-periodically perturbed Hamiltonian systems possessing two or more separatrices, previously discovered (PRL 90, 174101 (2003)). The theory well agrees with simulations. We also discuss generalizations and applications. Examples of applications of the facilitation include: the increase of the DC conductivity in spatially periodic structures, the reduction of activation barriers for noise-induced transitions and the related acceleration of spatial diffusion, the facilitation of the stochastic web formation in a wave-driven or kicked oscillator.
dc.description29 pages, 16 figures (figs. are of reduced quality, original files are available on request from authors), paper has been significantly revised and resubmitted to PRE
dc.identifierhttps://arxiv.org/abs/nlin/0612034
dc.identifierhttp://arxiv.org/abs/nlin/0612034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141114
dc.subjectChaotic Dynamics
dc.subjectMesoscale and Nanoscale Physics
dc.subjectClassical Physics
dc.titleNew approach to the treatment of separatrix chaos and its application to the global chaos onset between adjacent separatrices
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