Noisy heteroclinic networks

  title={Noisy heteroclinic networks},
  author={Yuri Bakhtin},
  journal={Probability Theory and Related Fields},
  • 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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  • P. M. Lee
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    The Mathematical Gazette
  • 1970
Convergence of Probability Measures. By P. Billingsley. Chichester, Sussex, Wiley, 1968. xii, 253 p. 9 1/4“. 117s.

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