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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). Article number 1240002. doi:10.1142/S0219477512400020 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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Engineering > Engineering | ||||
Library of Congress Subject Headings (LCSH): | Hamiltonian systems | ||||
Journal or Publication Title: | Fluctuation and Noise Letters | ||||
Publisher: | World Scientific Publishing | ||||
ISSN: | 0219-4775 | ||||
Official Date: | 2012 | ||||
Dates: |
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Volume: | Vol.11 | ||||
Number: | No.1 | ||||
Page Range: | Article number 1240002 | ||||
DOI: | 10.1142/S0219477512400020 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Date of first compliant deposit: | 21 December 2015 | ||||
Date of first compliant Open Access: | 21 December 2015 | ||||
Funder: | Royal Society (Great Britain), Università di Pisa, Deutsche Forschungsgemeinschaft (DFG) | ||||
Grant number: | SFB TR-12 (DFG) |
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