Switching Exponent Scaling near Bifurcation Points for Non-Gaussian Noise

Lora Billings, Ira B. Schwartz, Marie McCrary, A. N. Korotkov, and M. I. Dykman

Phys. Rev. Lett. 104, 140601 – Published 7 April 2010

Abstract

We study noise-induced switching of a system close to bifurcation parameter values where the number of stable states changes. For non-Gaussian noise, the switching exponent, which gives the logarithm of the switching rate, displays a non-power-law dependence on the distance to the bifurcation point. This dependence is found for Poisson noise. Even weak additional Gaussian noise dominates switching sufficiently close to the bifurcation point, leading to a crossover in the behavior of the switching exponent.

Received 22 September 2009

DOI:https://doi.org/10.1103/PhysRevLett.104.140601

Authors & Affiliations

Lora Billings¹, Ira B. Schwartz², Marie McCrary¹, A. N. Korotkov³, and M. I. Dykman^4,*

¹Department of Mathematical Sciences, Montclair State University, Montclair, New Jersey 07043, USA
²U.S. Naval Research Laboratory, Code 6792, Nonlinear System Dynamics Section, Plasma Physics Division, Washington, D.C. 20375, USA
³Department of Electrical Engineering, University of California, Riverside, California 92521, USA
⁴Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA

^*dykman@pa.msu.edu

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Vol. 104, Iss. 14 — 9 April 2010

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