How do hyperbolic homoclinic classes collide at heterodimensional cycles

• Type: Article in International Scientific Journal
• Date: 2007

Authors

Lorenzo J Diaz (Author) Other; Jorge Rocha (Author) FCUP

Journal

Title: Discrete and Continuous Dynamical Systems

Vol. 17 No. 1

Pages: 589-627

ISSN: 1078-0947

Publisher: American Institute of Mathematical Sciences

Indexing

ISI Web of Knowledge - 3 Citations

Scopus - 3 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-004-BBT

Abstract (EN): We present a model illustrating heterodimensional cycles (i.e., cycles associated to saddles having different indices) as a mechanism leading to the collision of hyperbolic homoclinic classes (of points of different indices) and thereafter to the persistence of (heterodimensional) cycles. The collisions are associated to secondary (saddle-node) bifurcations appearing in the unfolding of the initial cycle.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 39