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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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