Large measure of hyperbolic dynamics when unfolding heteroclinic cycles

• Type: Article in International Scientific Journal
• Date: 1997

Authors

Diaz, LJ (Author) Other; Rocha, J (Author) FCUP

Journal

Title: Nonlinearity

Vol. 10 No. 2

Pages: 857-884

ISSN: 0951-7715

Publisher: Institute of Physics Publishing

Indexing

ISI Web of Knowledge - 13 Citations

Scopus - 15 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-001-B62

DOI: 10.1088/0951-7715/10/4/004

Abstract (EN): We study the unfolding of heterodimensional cycles (i.e. cycles containing periodic points with different indices). Given any epsilon > 0 we construct an open set of arcs that unfold generically a heterodimensional cycle so that the relative measure at the bifurcation value of the set of parameter corresponding to Omega-stable diffeomorphisms is bigger than 1 - epsilon. On the other hand, the bifurcation value is not a point of full density of hyperbolic dynamics.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 28