NOISE-INDUCED TRANSITION OF A SELF-SUSTAINED OSCILLATOR

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/39241

Title:	NOISE-INDUCED TRANSITION OF A SELF-SUSTAINED OSCILLATOR
Authors:	LEUNG,HK
Contributors:	物理研究所
Keywords:	SYSTEMS
Date:	1995
Issue Date:	2010-07-08 14:09:23 (UTC+8)
Publisher:	中央大學
Abstract:	A model noisy oscillator system is investigated stochastically by analyzing the transient properties of two deterministic attractors. It is found that after prolonged perturbation by large noise, the limit cycle is deformed from its deterministic shape, and that the deformation occurs mostly near the region where the self-sustaining mechanism prevails. The trivial fixed point ceases to be a steady state in the stochastic sense, and turns into a metastable state with increasing variances. This metastable state, which repels all phase paths not initiating from itself, is found to attract all trajectories that detour from the deformed limit cycle. The expected transition from the limit cycle to an erratic oscillation via the metastable state is characterized by a simple power law. The corresponding exponent is numerically determined over a broad range of initial configurations and rate constants.
Relation:	CHINESE JOURNAL OF PHYSICS
Appears in Collections:	[Graduate Institute of Physics] journal & Dissertation

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