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 language||English (US)|
|Number of pages||42|
|Journal||Probability Theory and Related Fields|
|State||Published - Jun 2011|
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty