Synchronization of spatiotemporal chaotic systems by feedback control

Ying Cheng Lai; Celso Grebogi

doi:10.1103/PhysRevE.50.1894

Synchronization of spatiotemporal chaotic systems by feedback control

Ying Cheng Lai, Celso Grebogi

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

We demonstrate that two identical spatiotemporal chaotic systems can be synchronized by (1) linking one or a few of their dynamical variables, and (2) applying a small feedback control to one of the systems. Numerical examples using the diffusively coupled logistic map lattice are given. The effect of noise and the limitation of the technique are discussed.

Original language	English (US)
Pages (from-to)	1894-1899
Number of pages	6
Journal	Physical Review E
Volume	50
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevE.50.1894
State	Published - 1994
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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title = "Synchronization of spatiotemporal chaotic systems by feedback control",

abstract = "We demonstrate that two identical spatiotemporal chaotic systems can be synchronized by (1) linking one or a few of their dynamical variables, and (2) applying a small feedback control to one of the systems. Numerical examples using the diffusively coupled logistic map lattice are given. The effect of noise and the limitation of the technique are discussed.",

author = "Lai, {Ying Cheng} and Celso Grebogi",

year = "1994",

doi = "10.1103/PhysRevE.50.1894",

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AB - We demonstrate that two identical spatiotemporal chaotic systems can be synchronized by (1) linking one or a few of their dynamical variables, and (2) applying a small feedback control to one of the systems. Numerical examples using the diffusively coupled logistic map lattice are given. The effect of noise and the limitation of the technique are discussed.

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Synchronization of spatiotemporal chaotic systems by feedback control

Abstract

ASJC Scopus subject areas

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