Stochastic Hopf bifurcations

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/39156

Title:	Stochastic Hopf bifurcations
Authors:	Leung,HK
Contributors:	物理研究所
Keywords:	NOISE;SYSTEMS;OSCILLATOR;RESONANCE;TRANSIENT
Date:	1997
Issue Date:	2010-07-08 14:06:40 (UTC+8)
Publisher:	中央大學
Abstract:	A nonlinear model system of chemical reaction, which exhibits supercritical Hopf bifurcation is studied stochastically by taking white noise into consideration. Both the asymptotic properties near the bifurcation point and the transient processes preceding to the competing attractors are emphasized. It is found that both additive and multiplicative noises tend to suppress periodicity, and that only the additive noises could induce transition from a limit cycle to a fixed point. This finding is in accord with the previous results that Hopf bifurcation is always postponed by noises. Extensive investigation results in a phase diagram showing the phase domains of competing attractors. The phase boundaries are interpreted as the bifurcation loci for the stochastic Hopf bifurcation.
Relation:	CHINESE JOURNAL OF PHYSICS
Appears in Collections:	[Graduate Institute of Physics] journal & Dissertation

Files in This Item:

File	Description	Size	Format
index.html		0Kb	HTML	321	View/Open

社群 sharing