Complete synchronization of the noise-perturbed Chua's circuits

Wei Lin; Yangbo He

doi:10.1063/1.1938627

Complete synchronization of the noise-perturbed Chua's circuits

Wei Lin, Yangbo He

Research output: Journal article publication › Journal article › Academic research › peer-review

109 Citations (Scopus)

Abstract

In this paper, complete synchronization between unidirectionally coupled Chua's circuits within stochastic perturbation is investigated. Sufficient conditions of complete synchronization between these noise-perturbed circuits are established by means of the so-called LaSalle-type invariance principle for stochastic differential equations. Specific examples and their numerical simulations are also provided to demonstrate the feasibility of these conditions. Furthermore, the results obtained for the coupled Chua's circuits are further generalized to the wide class of coupled systems within stochastic perturbation.

Original language	English
Article number	023705
Journal	Chaos
Volume	15
Issue number	2
DOIs	https://doi.org/10.1063/1.1938627
Publication status	Published - 1 Jan 2005
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy
Applied Mathematics

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10.1063/1.1938627

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abstract = "In this paper, complete synchronization between unidirectionally coupled Chua's circuits within stochastic perturbation is investigated. Sufficient conditions of complete synchronization between these noise-perturbed circuits are established by means of the so-called LaSalle-type invariance principle for stochastic differential equations. Specific examples and their numerical simulations are also provided to demonstrate the feasibility of these conditions. Furthermore, the results obtained for the coupled Chua's circuits are further generalized to the wide class of coupled systems within stochastic perturbation.",

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AB - In this paper, complete synchronization between unidirectionally coupled Chua's circuits within stochastic perturbation is investigated. Sufficient conditions of complete synchronization between these noise-perturbed circuits are established by means of the so-called LaSalle-type invariance principle for stochastic differential equations. Specific examples and their numerical simulations are also provided to demonstrate the feasibility of these conditions. Furthermore, the results obtained for the coupled Chua's circuits are further generalized to the wide class of coupled systems within stochastic perturbation.

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Complete synchronization of the noise-perturbed Chua's circuits

Abstract

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