Artículo
Theory of frequency and phase synchronization in a rocked bistable stochastic system
Autor/es | Casado Pascual, Jesús
Gómez Ordóñez, José Morillo Buzón, Manuel Lehmann, Jörg Goychuk, Igor Hänggi, Peter |
Departamento | Universidad de Sevilla. Departamento de Física Atómica, Molecular y Nuclear |
Fecha de publicación | 2005 |
Fecha de depósito | 2020-06-03 |
Publicado en |
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Resumen | 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 ... 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 an 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. A proper definition of an output discrete phase is given, and the time rate of change of its noise average determines the corresponding output frequency. 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. In this case, for an appropriate choice of the parameter values, the system exhibits a noise-induced frequency locking accompanied by a very pronounced suppression of the phase diffusion of the output signal. Precise numerical simulations corroborate very favorably our analytical results. The novel theoretical findings are also compared with prior ones. |
Agencias financiadoras | Dirección General de Enseñanza Superior (DGES). España |
Identificador del proyecto | BFM2002-03822 |
Cita | Casado Pascual, J., Gómez Ordóñez, J., Morillo Buzón, M., Lehmann, J., Goychuk, . y Hänggi, P. (2005). Theory of frequency and phase synchronization in a rocked bistable stochastic system. Physical Review E, 71 (1), 011101-1-011101-9. |
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pubPhysRevE.71.011101.pdf | 142.9Kb | [PDF] | Ver/ | |