Skip to content

Boundary crisis: mind the gaps!

Research output: Working paperWorking paper and Preprints

  • Hinke M Osinga
Original languageEnglish
StatePublished - Apr 2006


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.

Download statistics

No data available



  • Hmosinga

    Submitted manuscript, 742 KB, PDF-document


View research connections

Related faculties, schools or groups