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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. doi:10.1142/S0218127406016951 ISSN 0218-1274.
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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 | ||||
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Subjects: | Q Science > QA Mathematics Q Science |
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Journal or Publication Title: | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | ||||
Publisher: | WORLD SCIENTIFIC PUBL CO PTE LTD | ||||
ISSN: | 0218-1274 | ||||
Official Date: | December 2006 | ||||
Dates: |
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Volume: | 16 | ||||
Number: | 12 | ||||
Number of Pages: | 14 | ||||
Page Range: | pp. 3509-3522 | ||||
DOI: | 10.1142/S0218127406016951 | ||||
Publication Status: | Published |
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