Numerical analysis of noise-induced regular oscillations
type: Item
instance of: scholarly article
title: Numerical analysis of noise-induced regular oscillations
zbMATH Open document ID: 0959.60058
DOI: 10.1016/S0167-2789(99)00242-0
author: M. V. Tretyakov
author: Grigori N. Milstein
published in: Physica D
publication date: 2000-07-11T00:00:00Z
review text: Since 20 years stochastic resonance is one of the main topics of analyzing stochastic dynamics in nonequilibrium systems. It predicts the amplification of small correlated signals in threshold devices by an optimal amount of noise. Lateron, starting from 1995, stochastic resonance was interpreted as a synchronization process where the stochastic output of the threshold device stands in close phase relation to the correlated signals within an effective Arnold tongue (amplitude of signal to noise intensity in the threshold device). The study of Milstein and Tretyakov complements these investigations looking for regular oscillations in a bistable system driven by a dichotomic periodic signal. Conditions for regular oscillations of the bistable system synchronized to the periodic input were presented evaluating numerically first passage probabilities in the frequency (signal) vs noise (bistable system) parameter space for larger amplitudes of the input.
reviewed by: Lutz Schimansky-Geier
Mathematics Subject Classification ID: 60H30
zbMATH DE Number: 1474652
zbMATH Keywords: stochastic resonance
zbMATH Keywords: synchronization
MaRDI profile type: Publication
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full work available at URL: s0167-2789(99)00242-0
OpenAlex ID: W2024651993
description: scientific article; zbMATH DE number 1474652