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

References in corpus (2)

• Stokes' drift: a rocking ratchet
• Hypersensitive transport in a phase model with multiplicative stimulus

Cited by in corpus (14)

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• Response theory: a trajectory-based approach
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• Drift by Dichotomous Markov Noise
• Non-Poisson dichotomous noise: higher-order correlation functions and aging
• Noise-induced bifurcations, Multiscaling and On-Off intermittency
• Rocking feedback controlled ratchets
• Breather Statics and Dynamics in Klein--Gordon Chains with a Bend
• Phase diagram of the random frequency oscillator: The case of Ornstein-Uhlenbeck noise
• Critical dynamics of phase transition driven by dichotomous Markov noise
• On the Effect of Random Alternating Perturbations on Hazard Rates
• Stokes' Drift and Hypersensitive Response with Dichotomous Markov Noise
• Dichotomous Markov noise: Exact results for out-of-equilibrium systems. A review