On estimates of Lyapunov exponents of synchronized coupled systems

Tianshou Zhou; Guanrong Chen; Qishao Lu; Xiaohua Xiong

doi:10.1063/1.2336414

On estimates of Lyapunov exponents of synchronized coupled systems

Tianshou Zhou, Guanrong Chen, Qishao Lu, Xiaohua Xiong

Department of Electrical Engineering

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

5 Citations (Scopus)

Abstract

Lyapunov exponents of a synchronized coupled system consist of those of the underlying individual systems and the transverse systems, based on a mode decomposition along the synchronization manifold. Estimates of bounds on the Lyapunov exponents (including transverse Lyapunov exponents) are derived. Several examples are used to validate the theoretical estimates. © 2006 American Institute of Physics.

Original language	English
Article number	33123
Journal	Chaos
Volume	16
Issue number	3
DOIs	https://doi.org/10.1063/1.2336414
Publication status	Published - 2006

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title = "On estimates of Lyapunov exponents of synchronized coupled systems",

abstract = "Lyapunov exponents of a synchronized coupled system consist of those of the underlying individual systems and the transverse systems, based on a mode decomposition along the synchronization manifold. Estimates of bounds on the Lyapunov exponents (including transverse Lyapunov exponents) are derived. Several examples are used to validate the theoretical estimates. {\textcopyright} 2006 American Institute of Physics.",

author = "Tianshou Zhou and Guanrong Chen and Qishao Lu and Xiaohua Xiong",

year = "2006",

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T1 - On estimates of Lyapunov exponents of synchronized coupled systems

AU - Zhou, Tianshou

AU - Chen, Guanrong

AU - Lu, Qishao

AU - Xiong, Xiaohua

PY - 2006

Y1 - 2006

N2 - Lyapunov exponents of a synchronized coupled system consist of those of the underlying individual systems and the transverse systems, based on a mode decomposition along the synchronization manifold. Estimates of bounds on the Lyapunov exponents (including transverse Lyapunov exponents) are derived. Several examples are used to validate the theoretical estimates. © 2006 American Institute of Physics.

AB - Lyapunov exponents of a synchronized coupled system consist of those of the underlying individual systems and the transverse systems, based on a mode decomposition along the synchronization manifold. Estimates of bounds on the Lyapunov exponents (including transverse Lyapunov exponents) are derived. Several examples are used to validate the theoretical estimates. © 2006 American Institute of Physics.

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U2 - 10.1063/1.2336414

DO - 10.1063/1.2336414

M3 - RGC 21 - Publication in refereed journal

SN - 1054-1500

VL - 16

JO - Chaos

JF - Chaos

IS - 3

M1 - 33123

ER -

On estimates of Lyapunov exponents of synchronized coupled systems

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