A study on stochastic resonance of one-dimensional bistable system in the neighborhood of bifurcation point with the moment method
type: Item
instance of: scholarly article
title: A study on stochastic resonance of one-dimensional bistable system in the neighborhood of bifurcation point with the moment method
zbMATH Open document ID: 1091.60009
author: Guangjun Zhang
author: Jianxue Xu
published in: Chaos, Solitons and Fractals
publication date: 2006-02-13T00:00:00Z
review text: The authors consider a bistable dynamical system described by the following Stratonovich equation: \[ dx(t)=[\mu x(t)-x(t)^3+A\sin(\omega t)]\,dt+\sqrt{2D_i}x(t)\circ dW_1 (t)+\sqrt{2D_e}\, dW_2(t), \] where \(W_1\) and \(W_2\) are two independent standard Brownian motions. The spectral power amplification factor is studied numerically in the neighbourhood of the bifurcation point \(\mu=0\) for different values of noise intensities \(D_i\) and \(D_e\). A bifurcation behaviour of moment equations is discussed.
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 60K40
Mathematics Subject Classification ID: 70K50
zbMATH DE Number: 5005420
zbMATH Keywords: method of moments
zbMATH Keywords: bistable system
zbMATH Keywords: Gaussian noise
zbMATH Keywords: stochastic resonance
zbMATH Keywords: periodic perturbation
reviewed by: Ilya Pavlyukevich
MaRDI profile type: Publication
full work available at URL: j.chaos.2005.04.074
OpenAlex ID: W1964424667
cites work: Resonance in a noise-driven excitable neuron model
DOI: 10.1016/J.CHAOS.2005.04.074
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description: scientific article; zbMATH DE number 5005420