Noisy heteroclinic networks

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Pages (from-to)1-42
Number of pages42
JournalProbability Theory and Related Fields
Volume150
Issue number1-2
DOIs
StatePublished - Jun 2011

ASJC Scopus subject areas

  • Analysis
  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Fingerprint Dive into the research topics of 'Noisy heteroclinic networks'. Together they form a unique fingerprint.

  • Cite this