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A new approach to the treatment of separatrix chaos

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Soskin, Stanislav, Mannella, R., Yevtushenko, O. M., Khovanov, I. A. and McClintock, P. V. E.. (2012) A new approach to the treatment of separatrix chaos. Fluctuation and Noise Letters, Vol.11 (No.1). p. 1240002. ISSN 0219-4775

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Official URL: http://dx.doi.org/10.1142/S0219477512400020

Abstract

We review an approach to separatrix chaos that has allowed us to solve some significant problems by: (i) finding analytically the maximum width of the chaotic layer, a problem that lay unsolved for 40 years, and showing that the maximum may be much larger than had previously been assumed; (ii) describing the drastic facilitation of the onset of global chaos between neighboring separatrices, a phenomenon discovered eight years ago.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Engineering
Library of Congress Subject Headings (LCSH): Hamiltonian systems
Journal or Publication Title: Fluctuation and Noise Letters
Publisher: World Scientific Publishing
ISSN: 0219-4775
Date: 2012
Volume: Vol.11
Number: No.1
Page Range: p. 1240002
Identification Number: 10.1142/S0219477512400020
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Funder: Royal Society (Great Britain), Università di Pisa, Deutsche Forschungsgemeinschaft (DFG)
Grant number: SFB TR-12 (DFG)
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URI: http://wrap.warwick.ac.uk/id/eprint/47765

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