2013/02/21 by Isabel S. Labouriau, Labouriau, Isabel S., Alexandre A. P. Rodrigues +1
Computer Science · Mathematics · Physics and Astronomy · #37C20 #37C27 #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Nonlinear Dynamics and Pattern Formation #Primary: 37C29 #Quantum chaos and dynamical systems #Secondary: 34C28 #math.DS #msc:34C28 #msc:37C20 #msc:37C27 #msc:37C29
paper · pdf · doi:10.48550/arxiv.1302.5333
arxiv created 2013/02/21 · openalex publication_date 2013/02/21 · arxiv updated 2013/02/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study some global aspects of the bifurcation of an equivariant family of volume-contracting vector fields on the three-dimensional sphere. When part of the symmetry is broken, the vector fields exhibit Bykov cycles. Close to the symmetry, we investigate the mechanism of the emergence of heteroclinic tangencies coexisting with transverse connections. We find persistent suspended horseshoes accompanied by attracting periodic trajectories with long periods.