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A strange attractor with large entropy in the unfolding of a low resonant degenerate homoclinic orbit
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Martens, M., Naudot, V. and Yang, J.. (2006) A strange attractor with large entropy in the unfolding of a low resonant degenerate homoclinic orbit. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 16 (12). pp. 3509-3522. ISSN 0218-1274
Full text not available from this repository.Abstract
The unfolding of a vector field exhibiting a degenerate homoclinic orbit of inclination-flip type is studied. The linear part of the unperturbed system possesses a resonance but the coefficient of the corresponding monoimial vanishes. We show that for an open set in the parameter spice, the system possesses a suspended cubic Henon-like map. As a consequence, strange attractors with entropy close to log3 persist in a positive Lebesgue measure set.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics Q Science |
| Journal or Publication Title: | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
| Publisher: | WORLD SCIENTIFIC PUBL CO PTE LTD |
| ISSN: | 0218-1274 |
| Date: | December 2006 |
| Volume: | 16 |
| Number: | 12 |
| Number of Pages: | 14 |
| Page Range: | pp. 3509-3522 |
| Identification Number: | 10.1142/S0218127406016951 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/32313 |
Data sourced from Thomson Reuters' Web of Knowledge
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