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arXiv · 2009.06745

Escape from an attractor generated by recurrent exit

Lou Zonca·David Holcman
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Abstract

Kramer's theory of activation over a potential barrier consists in computing the mean exit time from the boundary of a basin of attraction of a randomly perturbed dynamical system. Here we report that for some systems, crossing the boundary is not enough, because stochastic trajectories return inside the basin with a high probability a certain number of times before escaping far away. This situation is due to a shallow potential. We compute the mean and distribution of escape times and show how this result explains the large distribution of interburst durations in neuronal networks.

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BibTeXRIS

Lou Zonca, David Holcman. 2020-09-14. Escape from an attractor generated by recurrent exit. https://doi.org/10.1103/physrevresearch.3.023115

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