Unexpected correspondence between noise-induced and master-slave complete synchronizations

Jian Gao; Huaping Lü; Daihai He; Lewi Stone; Zhigang Zheng

doi:10.1103/PhysRevE.68.037202

Unexpected correspondence between noise-induced and master-slave complete synchronizations

Jian Gao, Huaping Lü, Daihai He, Lewi Stone, Zhigang Zheng

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

Abstract

A comparison between noise-induced synchronization and master-slave (Pecora-Carroll) synchronization is investigated in this paper. We find an interesting correspondence between the effective driving variables of these two kinds of synchronizations in three-dimensional chaotic systems, when the systems have nonlinear terms in more than one equation. A study of the Lorenz model, the Hindmarsh-Rose neuron model, and the Hastings-Powell foodweb model is given to support this claim. It is a somewhat surprising result since these two kinds of synchronizations arise through different mechanisms. We also examine an exceptional case, where the nonlinear term of the system appears in a single equation, as in the Pikovsky-Rabinovich circuit model, and explain why the correspondence fails.

Original language	English
Pages (from-to)	4
Number of pages	1
Journal	Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume	68
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevE.68.037202
Publication status	Published - 1 Jan 2003
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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10.1103/PhysRevE.68.037202

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Unexpected correspondence between noise-induced and master-slave complete synchronizations. / Gao, Jian; Lü, Huaping; He, Daihai et al.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 68, No. 3, 01.01.2003, p. 4.

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

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Unexpected correspondence between noise-induced and master-slave complete synchronizations

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