title: Global organization of spiral structures in biparameter space of dissipative systems with Shilnikov saddle-foci.
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.
authors: Departamento de Matemática Aplicada and IUMA, University of Zaragoza, E-50009, Spain. rbarrio@unizar.es
authors: Roberto
authors: R
authors: Barrio
authors: Fernando
authors: F
authors: Blesa
authors: Sergio
authors: S
authors: Serrano
authors: Andrey
authors: A
authors: Shilnikov
mesh_terms: D017711:Nonlinear Dynamics; D010507:Periodicity