A simple method for the computation of the conditional Lyapunov exponents

Daihai He; Jianxue Xu; Yonghong Chen; Ning Tan

doi:10.1016/S1007-5704(99)90022-9

A simple method for the computation of the conditional Lyapunov exponents

Daihai He, Jianxue Xu, Yonghong Chen, Ning Tan

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

6 Citations (Scopus)

Abstract

An handy method of calculating the conditional Lyapunov exponents is put forward. Lyapunov exponents of differential dynamical systems and the conditional Lyapunov exponents can be acquired easily with the method. The method has been successfully used in kinds of synchronization, such as continuous driving synchronization, impulsive (sporadic) driving synchronization, intermittently driving synchronization. The conditional Lyapunov exponents obtained with our method can give the largest and the best time interval for impulsive synchronization that can hardly be settled in other ways.

Original language	English
Pages (from-to)	113-117
Number of pages	5
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	4
Issue number	2
DOIs	https://doi.org/10.1016/S1007-5704(99)90022-9
Publication status	Published - 1 Jan 1999
Externally published	Yes

Keywords

Chaos synchronization
Conditional Lyapunov exponents
Impulse synchronization

ASJC Scopus subject areas

Numerical Analysis
Modelling and Simulation
Applied Mathematics

More information

10.1016/S1007-5704(99)90022-9

Cite this

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abstract = "An handy method of calculating the conditional Lyapunov exponents is put forward. Lyapunov exponents of differential dynamical systems and the conditional Lyapunov exponents can be acquired easily with the method. The method has been successfully used in kinds of synchronization, such as continuous driving synchronization, impulsive (sporadic) driving synchronization, intermittently driving synchronization. The conditional Lyapunov exponents obtained with our method can give the largest and the best time interval for impulsive synchronization that can hardly be settled in other ways.",

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author = "Daihai He and Jianxue Xu and Yonghong Chen and Ning Tan",

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T1 - A simple method for the computation of the conditional Lyapunov exponents

AU - He, Daihai

AU - Xu, Jianxue

AU - Chen, Yonghong

AU - Tan, Ning

PY - 1999/1/1

Y1 - 1999/1/1

N2 - An handy method of calculating the conditional Lyapunov exponents is put forward. Lyapunov exponents of differential dynamical systems and the conditional Lyapunov exponents can be acquired easily with the method. The method has been successfully used in kinds of synchronization, such as continuous driving synchronization, impulsive (sporadic) driving synchronization, intermittently driving synchronization. The conditional Lyapunov exponents obtained with our method can give the largest and the best time interval for impulsive synchronization that can hardly be settled in other ways.

AB - An handy method of calculating the conditional Lyapunov exponents is put forward. Lyapunov exponents of differential dynamical systems and the conditional Lyapunov exponents can be acquired easily with the method. The method has been successfully used in kinds of synchronization, such as continuous driving synchronization, impulsive (sporadic) driving synchronization, intermittently driving synchronization. The conditional Lyapunov exponents obtained with our method can give the largest and the best time interval for impulsive synchronization that can hardly be settled in other ways.

KW - Chaos synchronization

KW - Conditional Lyapunov exponents

KW - Impulse synchronization

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U2 - 10.1016/S1007-5704(99)90022-9

DO - 10.1016/S1007-5704(99)90022-9

M3 - Journal article

SN - 1007-5704

VL - 4

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EP - 117

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 2

ER -

A simple method for the computation of the conditional Lyapunov exponents

Abstract

Keywords

ASJC Scopus subject areas

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