Abstract
We consider two-parameter families of C r-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.
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Gonchenko, S.V., Shilnikov, L.P. On Two-Dimensional Area-Preserving Diffeomorphisms with Infinitely Many Elliptic Islands. Journal of Statistical Physics 101, 321–356 (2000). https://doi.org/10.1023/A:1026418323000
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DOI: https://doi.org/10.1023/A:1026418323000