Influence of white noise on delayed bifurcations

1 May 1986

journal article
research article
Published by American Physical Society (APS) in Physical Review A

Vol. 33 (5) , 3635-3637
https://doi.org/10.1103/physreva.33.3635

Abstract

We analyze the time-dependent solution of the simplest Fokker-Planck equation which describes the action of Gaussian white noise in a single-mode laser. The pump parameter is linearly swept in time. Because of the critical slowing down, the time evolution of the probability distribution exhibits a delay with respect to the instantaneous value of the pump parameter. The delay turns out to depend crucially on the sweeping rate and to be essentially independent of the initial value of the swept parameter.

Keywords

This publication has 4 references indexed in Scilit:

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