Abstract
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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Bakhtin, Y. Noisy heteroclinic networks. Probab. Theory Relat. Fields 150, 1–42 (2011). https://doi.org/10.1007/s00440-010-0264-0
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DOI: https://doi.org/10.1007/s00440-010-0264-0
Mathematics Subject Classification (2000)
- 60J60
- 34E10
- 60F17