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Chaos : Coherence resonance induced by colored noise near Hopf bifurcation

By Juan Ma, Tiejun Xiao, Zhonghuai Hou, and Houwen Xin

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Book Id: WPLBN0002169298
Format Type: PDF eBook :
File Size: Serial Publication
Reproduction Date: 19 November 2008

Title: Chaos : Coherence resonance induced by colored noise near Hopf bifurcation  
Author: Juan Ma, Tiejun Xiao, Zhonghuai Hou, and Houwen Xin
Volume: Issue : November 2008
Language: English
Subject: Science, Physics, Natural Science
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Chaos Collection
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Publisher: American Institute of Physics

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Tiejun Xiao, Zhonghuai Hou, And Houwen Xi, J. M. (n.d.). Chaos : Coherence resonance induced by colored noise near Hopf bifurcation. Retrieved from http://community.worldlibrary.net/


Description
Description: Effects of colored noise near supercritical Hopf bifurcation, especially noise induced oscillation (NIO) and coherence resonance (CR), have been studied analytically in the Brusselator model, using the stochastic normal form method. Two types of colored noise are considered: one is the standard Gaussian colored noise generated by the Ornstein–Uhlenbeck (OU) process and the other is the so-called power-limited (PL) process. Depending on the noise intensity and noise type, it is found that the autocorrelation time, most probable radius and signal to noise ratio of the NIO may show nontrivial dependencies on the noise correlation time τc. Interestingly, for OU-type noise with intensity above a threshold, SNR is a bell-shaped function of τc, indicating enhancement of CR by noise correlation; and for PL-type noise, SNR may show double maxima when τc is changed, demonstrating a new kind of multiresonance phenomenon. These theoretical predictions are well reproduced by numerical simulations.

 

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