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Separatrix chaos: new approach to the theoretical treatment

Soskin, S. M. and Mannella, R. and Yevtushenko, O. M. (2007) Separatrix chaos: new approach to the theoretical treatment. arXiv . (In Press)

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SUMMARY We develop a new approach to the theoretical treatment of the separatrix chaos, using a special analysis of the separatrix map. The approach allows us to describe boundaries of the separatrix chaotic layer in the Poincar\'{e} section and transport within the layer. We show that the maximum which the width of the layer in energy takes as the perturbation frequency varies is much larger than the perturbation amplitude, in contrast to predictions by earlier theories suggesting that the maximum width is of the order of the amplitude. The approach has also allowed us to develop the self-consistent theory of the earlier discovered (PRL 90, 174101 (2003)) drastic facilitation of the onset of global chaos between adjacent separatrices. Simulations agree with the theory.

Item Type: Article
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 12:38
Last Modified: 30 Jul 2013 12:38
URI: http://eprints.adm.unipi.it/id/eprint/1302

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