On Two-Dimensional Area-Preserving Diffeomorphisms with Infinitely Many Elliptic Islands
- Cite this article as:
- Gonchenko, S.V. & Shilnikov, L.P. Journal of Statistical Physics (2000) 101: 321. doi:10.1023/A:1026418323000
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.