Small noise limit for diffusions near heteroclinic networks

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Abstract

This is a nontechnical exposition of the theory on vanishing noise limit for random perturbations of dynamical systems admitting heteroclinic networks developed by the author [Y. Bakhtin, Noisy heteroclinic networks, Probability Theory Rel. Fields (2010) DOI: 10.1007/s00440-010-0264-0]. We avoid details on stochastic calculus and stress the main ideas.

Original languageEnglish (US)
Pages (from-to)413-431
Number of pages19
JournalDynamical Systems
Volume25
Issue number3
DOIs
StatePublished - Sep 1 2010

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Keywords

  • exit distribution
  • heteroclinic networks
  • random perturbation
  • small noise

ASJC Scopus subject areas

  • Mathematics(all)
  • Computer Science Applications

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