Noisy heteroclinic networks

Dieter Armbruster, Emily Stone, Vivien Kirk

Research output: Contribution to journalArticlepeer-review

49 Scopus citations


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
Pages (from-to)71-79
Number of pages9
Issue number1
StatePublished - Mar 2003


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