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 language | English |
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| Pages (from-to) | 71-79 |
| Number of pages | 9 |
| Journal | Chaos |
| Volume | 13 |
| Issue number | 1 |
| DOIs | |
| State | Published - Mar 2003 |