Small noise limit for diffusions near heteroclinic networks

Research output: Contribution to journalArticle

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 2010

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Dynamical systems
Stochastic Calculus
Random Perturbation
Probability Theory
Dynamical system

Keywords

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

ASJC Scopus subject areas

  • Computer Science Applications
  • Mathematics(all)

Cite this

Small noise limit for diffusions near heteroclinic networks. / Bakhtin, Yuri.

In: Dynamical Systems, Vol. 25, No. 3, 09.2010, p. 413-431.

Research output: Contribution to journalArticle

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