Locus of boundary crisis: Expect inifinitely many gaps

HM Osinga

Research output: Contribution to journalArticle (Academic Journal)peer-review

27 Citations (Scopus)

Abstract

Boundary crisis is a mechanism for destroying a chaotic attractor when one parameter is varied. In a two-parameter setting the locus of the boundary crisis is associated with curves of homoclinic or heteroclinic bifurcations of periodic saddle points. It is known that this locus has nondifferentiable points. We show here that the locus of boundary crisis is far more complicated than previously reported. It actually contains infinitely many gaps, corresponding to regions (of positive measure) where attractors exist.
Translated title of the contributionLocus of boundary crisis: Expect inifinitely many gaps
Original languageEnglish
Pages (from-to)035201(R)
Number of pages4
JournalPhysical Review E: Statistical, Nonlinear, and Soft Matter Physics
Volume74
DOIs
Publication statusPublished - Sep 2006

Bibliographical note

Publisher: American Physical Soc

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