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Noisy heteroclinic networks
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  • Published: 09 February 2010

Noisy heteroclinic networks

  • Yuri Bakhtin1 

Probability Theory and Related Fields volume 150, pages 1–42 (2011)Cite this article

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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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Authors and Affiliations

  1. School of Mathematics, Georgia Tech, Atlanta, GA, 30332-0160, USA

    Yuri Bakhtin

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  1. Yuri Bakhtin
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Correspondence to Yuri Bakhtin.

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Cite this article

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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  • Received: 23 December 2007

  • Revised: 15 January 2010

  • Published: 09 February 2010

  • Issue Date: June 2011

  • DOI: https://doi.org/10.1007/s00440-010-0264-0

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Mathematics Subject Classification (2000)

  • 60J60
  • 34E10
  • 60F17
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