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A New Approach To The Treatment Of Separatrix Chaos And Its Applications

Soskin, S. M. and Mannella, R. and Yevtushenko, O. M. and Khovanov, I. A. and McClintock, P. V. E. (2010) A New Approach To The Treatment Of Separatrix Chaos And Its Applications. In: Hamiltonian Chaos Beyond the KAM Theory. Springer, pp. 51-141. ISBN 978-3-642-12718-2

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SUMMARY We consider time-periodically perturbed 1D Hamiltonian systems possessing one or more separatrices. If the perturbation is weak, then the separatrix chaos is most developed when the perturbation frequency lies in the logarithmically small or moderate ranges: this corresponds to the involvement of resonance dynamics into the separatrix chaos. We develop a method matching the discrete chaotic dynamics of the separatrix map and the continuous regular dynamics of the resonance Hamiltonian. The method has allowed us to solve the long-standing problem of an accurate description of the maximum of the separatrix chaotic layer width as a function of the perturbation frequency. It has also allowed us to predict and describe new phenomena including, in particular: (i) a drastic facilitation of the onset of global chaos between neighbouring separatrices, and (ii) a huge increase in the size of the low-dimensional stochastic web.

Item Type: Book Section
Additional Information: Imported from arXiv
Subjects: Area02 - Scienze fisiche > FIS/03 - Fisica della materia
Divisions: Dipartimenti (from 2013) > DIPARTIMENTO DI FISICA
Depositing User: dott.ssa Sandra Faita
Date Deposited: 30 Jul 2013 12:09
Last Modified: 30 Jul 2013 12:30
URI: http://eprints.adm.unipi.it/id/eprint/1299

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