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}
}
  • Yuri Bakhtin
  • Published 23 December 2007
  • Mathematics
  • Probability Theory and Related Fields
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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