Noisy heteroclinic networks View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2011-06

AUTHORS

Yuri Bakhtin

ABSTRACT

We consider a white noise perturbation of dynamics in the neighborhood of a heteroclinic network. We show that under the logarithmic time rescaling the diffusion converges in distribution in a special topology to a piecewise constant process that jumps between saddle points along the heteroclinic orbits of the network. We also obtain precise asymptotics for the exit measure for a domain containing the starting point of the diffusion. More... »

PAGES

1-42

References to SciGraph publications

  • 1997-04. Robust heteroclinic cycles in JOURNAL OF NONLINEAR SCIENCE
  • 1981-03. The exit problem for small random perturbations of dynamical systems with a hyperbolic fixed point in ISRAEL JOURNAL OF MATHEMATICS
  • Identifiers

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    http://scigraph.springernature.com/pub.10.1007/s00440-010-0264-0

    DOI

    http://dx.doi.org/10.1007/s00440-010-0264-0

    DIMENSIONS

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