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Noisy heteroclinic networks

  • Yuri BakhtinEmail author
Article

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.

Mathematics Subject Classification (2000)

60J60 34E10 60F17 

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Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  1. 1.School of MathematicsGeorgia TechAtlantaUSA

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