Global organization of spiral structures in biparameter space of dissipative systems with Shilnikov saddle-foci.
نویسندگان
چکیده
We reveal and give a theoretical explanation for spiral-like structures of periodicity hubs in the biparameter space of a generic dissipative system. We show that organizing centers for "shrimp"-shaped connection regions in the spiral structure are due to the existence of Shilnikov homoclinics near a codimension-2 bifurcation of saddle-foci.
منابع مشابه
Homoclinic Spirals: Theory and Numerics
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ورودعنوان ژورنال:
- Physical review. E, Statistical, nonlinear, and soft matter physics
دوره 84 3 Pt 2 شماره
صفحات -
تاریخ انتشار 2011