Theory of frequency and phase synchronization in a rocked bistable stochastic system

  • We investigate the role of noise in the phenomenon of stochastic synchronization of switching events in a rocked, overdamped bistable potential driven by white Gaussian noise, the archetype description of Stochastic Resonance. We present a new approach to the stochastic counting process of noise-induced switching events: starting from the Markovian dynamics of the nonstationary, continuous particle dynamics one finds upon contraction onto two states a non-Markovian renewal dynamics. The output frequency is determined as the velocity of the underlying discrete phase dynamics. The phenomenon of noise-assisted phase synchronization is investigated in terms of an effective, instantaneous phase diffusion. The theory is applied to rectangular-shaped rocking signals versus increasing input-noise strengths. Precise numerical simulations corroborate very favorably our analytical results. The novel theoretical findings are also compared with prior findings.

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Author:Jesús Casado-PascualORCiD, José Gómez-Ordóñez, Manuel Morillo, Jörg LehmannGND, Igor GoychukORCiDGND, Peter HänggiORCiDGND
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Publishing Institution:Universität Augsburg
Release Date:2006/09/04
Tag:Gaussian noise; white noise; stochastic systems; synchronisation; Markov processes; numerical analysis
GND-Keyword:Gaußsches Rauschen; Weißes Rauschen; Stochastisches System; Markov-Prozess; Synchronisierung
Source:erschienen in: Phys. Rev. E 71, 011101 (2005); DOI: 10.1103/PhysRevE.71.011101; URL:
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik / Lehrstuhl für Theoretische Physik I
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik