Abstract
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.
- Received 17 March 2011
DOI:https://doi.org/10.1103/PhysRevE.84.035201
©2011 American Physical Society