Switching Exponent Scaling near Bifurcation Points for Non-Gaussian Noise

Authors

Lora Billings, Montclair State UniversityFollow
Ira Schwartz, US Naval Research LabratoryFollow
Mary McCrary, Montclair State UniversityFollow
A. Korotkrov, University of California, Riverside
M. Dykman, Michigan State UniversityFollow

Document Type

Article

Publication Date

4-7-2010

Journal / Book Title

Physical Review Letters

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.

DOI

10.1103/PhysRevLett.104.140601

MSU Digital Commons Citation

Billings, Lora; Schwartz, Ira; McCrary, Mary; Korotkrov, A.; and Dykman, M., "Switching Exponent Scaling near Bifurcation Points for Non-Gaussian Noise" (2010). Department of Mathematics Facuty Scholarship and Creative Works. 12.
https://digitalcommons.montclair.edu/mathsci-facpubs/12

Published Citation

Billings, L., Schwartz, I. B., McCrary, M., Korotkov, A. N., & Dykman, M. I. (2010). Switching exponent scaling near bifurcation points for non-Gaussian noise. Phys Rev Lett, 104(14), 140601. doi:10.1103/PhysRevLett.104.140601