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On Two-Dimensional Area-Preserving Diffeomorphisms with Infinitely Many Elliptic Islands |
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| Authors: | S. V. Gonchenko L. P. Shilnikov |
| Affiliation: | (1) Inst. for Appl. Math. and Cyb., 10 Ul'janov st., 603005 Nizhnii Novgorod, Russia;(2) Inst. for Appl. Math. and Cyb., 10 Ul'janov st., 603005 Nizhnii Novgorod, Russia |
| Abstract: | We consider two-parameter families of Cr-smooth, r 6, two-dimensional area-preserving diffeomorphisms that have structurally unstable simplest heteroclinic cycles. We find the conditions when diffeomorphisms under consideration possess infinitely many periodic generic elliptic points and elliptic islands. |
| Keywords: | area-preserving diffeomorphisms structurally unstable heteroclinic cycle elliptic periodic point elliptic island the conservative Henon map |
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