Nonlinear Response With Dichotomous Noise

Abstract

Dichotomous noise appears in a wide variety of physical and mathematical models. It has escaped attention that the standard results for the long time properties cannot be applied when unstable fixed points are crossed in the asymptotic regime. We show how calculations have to be modified to deal with these cases and present as a first application full analytic results for hypersensitive transport.

To be published in Phys. Rev. E, Rapid Communications; 3 figures; corrected typos in eq.(14); improved Fig. 3