Noisy heteroclinic networks

Hans Armbruster, Emily Stone, Vivien Kirk

Research output: Contribution to journalArticle

31 Scopus citations

Abstract

The influence of small noise on the dynamics of heteroclinic networks is studied, with a particular focus on noise-induced switching between cycles in the network. Three different types of switching are found, depending on the details of the underlying deterministic dynamics: random switching between the heteroclinic cycles determined by the linear dynamics near one of the saddle points, noise induced stability of a cycle, and intermittent switching between cycles. All three responses are explained by examining the size of the stable and unstable eigenvalues at the equilibria.

Original languageEnglish (US)
Pages (from-to)71-79
Number of pages9
JournalChaos
Volume13
Issue number1
DOIs
StatePublished - Mar 2003

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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

  • Cite this