Partial Symmetry Breaking and Heteroclinic Tangencies

• Type: Article in International Conference Proceedings Book
• Date: 2013

Authors

Isabel S Labouriau (Author) FCUP; Alexandre A P Rodrigues (Author) Other

Conference proceedings International

Title: PROGRESS AND CHALLENGES IN DYNAMICAL SYSTEMS

Pages: 281-299

Indexing

ISI Web of Knowledge - 6 Citations

Scopus - 5 Citations

Other information

Authenticus ID: P-009-3XK

DOI: 10.1007/978-3-642-38830-9_17

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 19