# Noisy heteroclinic networks

@article{Bakhtin2007NoisyHN, title={Noisy heteroclinic networks}, author={Yuri Bakhtin}, journal={Probability Theory and Related Fields}, year={2007}, volume={150}, pages={1-42} }

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.

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