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.
Author: | Jesús Casado-PascualORCiD, José Gómez-Ordóñez, Manuel Morillo, Jörg LehmannGND, Igor GoychukORCiDGND, Peter HänggiORCiDGND |
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URN: | urn:nbn:de:bvb:384-opus4-2819 |
Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/347 |
Type: | Preprint |
Language: | English |
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: http://link.aps.org/abstract/PRE/v71/e011101 |
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 |