NONCONNECTED HETERODIMENSIONAL CYCLES - BIFURCATION AND STABILITY

• Type: Article in International Scientific Journal
• Date: 1992

Authors

DIAZ, LJ (Author) Other; ROCHA, J (Author) FCUP

Journal

Title: Nonlinearity

Vol. 5

Pages: 1315-1341

ISSN: 0951-7715

Publisher: Institute of Physics Publishing

Indexing

ISI Web of Knowledge - 23 Citations

Scopus - 23 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-001-P2N

DOI: 10.1088/0951-7715/5/6/006

Abstract (EN): We study arcs of diffeomorphisms that bifurcate through the creation of a non-connected heterodimensional cycle. We exhibit two open sets of such arcs; in the first one, after the bifurcation, the set of parameter values for which the corresponding diffeomorphism is stable (stable set) is empty, in the second one OMEGA-stability has some degree of prevalence, i.e. the relative measure of the OMEGA-stable set is bounded away from zero.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 27