Noisy heteroclinic networks View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2011-06

AUTHORS

Yuri Bakhtin

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. More... »

PAGES

1-42

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00440-010-0264-0

DOI

http://dx.doi.org/10.1007/s00440-010-0264-0

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1000387165


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