Stochastic averaging near long heteroclinic orbits

Research output: Contribution to journalArticle

Abstract

We refine some of the bounds of [10]. There, we considered the effect of diffusive perturbations on a two-dimensional ODE with a heteroclinic cycle. We constructed corrector functions for asymptotically "glueing" together behavior of periodic orbits in the boundary layer near the heteroclinic cycle. Here, we adapt the analysis of [10] to allow for "long" heteroclinic cycles.

Original languageEnglish (US)
Pages (from-to)187-228
Number of pages42
JournalStochastics and Dynamics
Volume7
Issue number2
DOIs
StatePublished - Jun 1 2007

Keywords

  • Glueing conditions
  • Perturbed test functions
  • Singular perturbations

ASJC Scopus subject areas

  • Modeling and Simulation

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