Noisy heteroclinic networks
Probability
2010-01-15 v3 Dynamical Systems
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 distributon 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.
Cite
@article{arxiv.0712.3952,
title = {Noisy heteroclinic networks},
author = {Yuri Bakhtin},
journal= {arXiv preprint arXiv:0712.3952},
year = {2010}
}
Comments
37 pages, 1 figure