Noisy heteroclinic networks

Research output: Contribution to journalArticlepeer-review


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
Issue number1-2
StatePublished - Jun 2011

ASJC Scopus subject areas

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


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