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Boundary crisis: mind the gaps!

Research output: Working paperWorking paper and Preprints

  • Hinke M Osinga
Original languageEnglish
Publication dateApr 2006
StatePublished

Abstract

Boundary crisis is a mechanism for destroying a chaotic attractor when one parameter is varied. In a two-parameter setting the locus of 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.

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  • Hmosinga

    Preprint (usually an early version) , 742 KB, PDF-document

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