Impulsive synchronization of Lü chaotic system based on small impulsive signal

Zhijun Peng; Yang Li; Xiaofeng Liao; Chuandong Li

doi:10.1007/s10773-007-9503-2

Impulsive synchronization of Lü chaotic system based on small impulsive signal

Zhijun Peng
, Yang Li^*
, Xiaofeng Liao
, Chuandong Li

^*Corresponding author for this work

Chongqing University

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

6 Scopus citations

Abstract

In this Letter the issue of impulsive synchronization of the Lü chaotic system is developed. We propose an impulsive synchronization scheme of the Lü chaotic system including chaotic systems. Some new and sufficient conditions on varying impulsive distance are established in order to guarantee the synchronizability of the systems using the synchronization method. In particular, some simple conditions are derived in synchronizing the systems by equal impulsive distances. The proposed impulsive synchronization scheme is applied to the Lü chaotic system and the numerical example demonstrates the effectiveness of the method. The boundaries of the stable regions are also estimated.

Original language	English
Pages (from-to)	797-804
Number of pages	8
Journal	International Journal of Theoretical Physics
Volume	47
Issue number	3
DOIs	https://doi.org/10.1007/s10773-007-9503-2
State	Published - Mar 2008
Externally published	Yes

Keywords

Chaos
Impulsive synchronization
Lü chaotic system

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10.1007/s10773-007-9503-2

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title = "Impulsive synchronization of L{\"u} chaotic system based on small impulsive signal",

abstract = "In this Letter the issue of impulsive synchronization of the L{\"u} chaotic system is developed. We propose an impulsive synchronization scheme of the L{\"u} chaotic system including chaotic systems. Some new and sufficient conditions on varying impulsive distance are established in order to guarantee the synchronizability of the systems using the synchronization method. In particular, some simple conditions are derived in synchronizing the systems by equal impulsive distances. The proposed impulsive synchronization scheme is applied to the L{\"u} chaotic system and the numerical example demonstrates the effectiveness of the method. The boundaries of the stable regions are also estimated.",

keywords = "Chaos, Impulsive synchronization, L{\"u} chaotic system",

author = "Zhijun Peng and Yang Li and Xiaofeng Liao and Chuandong Li",

year = "2008",

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doi = "10.1007/s10773-007-9503-2",

language = "英语",

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T1 - Impulsive synchronization of Lü chaotic system based on small impulsive signal

AU - Peng, Zhijun

AU - Li, Yang

AU - Liao, Xiaofeng

AU - Li, Chuandong

PY - 2008/3

Y1 - 2008/3

N2 - In this Letter the issue of impulsive synchronization of the Lü chaotic system is developed. We propose an impulsive synchronization scheme of the Lü chaotic system including chaotic systems. Some new and sufficient conditions on varying impulsive distance are established in order to guarantee the synchronizability of the systems using the synchronization method. In particular, some simple conditions are derived in synchronizing the systems by equal impulsive distances. The proposed impulsive synchronization scheme is applied to the Lü chaotic system and the numerical example demonstrates the effectiveness of the method. The boundaries of the stable regions are also estimated.

AB - In this Letter the issue of impulsive synchronization of the Lü chaotic system is developed. We propose an impulsive synchronization scheme of the Lü chaotic system including chaotic systems. Some new and sufficient conditions on varying impulsive distance are established in order to guarantee the synchronizability of the systems using the synchronization method. In particular, some simple conditions are derived in synchronizing the systems by equal impulsive distances. The proposed impulsive synchronization scheme is applied to the Lü chaotic system and the numerical example demonstrates the effectiveness of the method. The boundaries of the stable regions are also estimated.

KW - Chaos

KW - Impulsive synchronization

KW - Lü chaotic system

UR - https://www.scopus.com/pages/publications/40549122631

U2 - 10.1007/s10773-007-9503-2

DO - 10.1007/s10773-007-9503-2

M3 - 文章

AN - SCOPUS:40549122631

SN - 0020-7748

VL - 47

SP - 797

EP - 804

JO - International Journal of Theoretical Physics

JF - International Journal of Theoretical Physics

IS - 3

ER -

Impulsive synchronization of Lü chaotic system based on small impulsive signal

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Keywords

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