A simple method to simultaneously achieve synchronization and anti-synchronization in chaotic systems

In this paper, a novel adaptive control approach is presented to simultaneously achieve synchronization and antisynchronization in partially linear chaotic systems. Through appropriately separating state vectors of such systems, synchronization and anti-synchronization could be simultaneously realiz...

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Published inChinese physics B Vol. 19; no. 1; pp. 172 - 178
Main Author 李瑞红 陈为胜 李爽
Format Journal Article
LanguageEnglish
Published IOP Publishing 2010
Subjects
Adaptive control
Chaos theory
Communication systems
Computer simulation
Lorenz混沌系统
Mathematical models
Security
State vectors
Subspaces
Synchronism
Synchronization
Transmission
仿真结果
周期信号
数值结果
自适应控制
超混沌系统
通信方案
Online AccessGet full text
ISSN1674-1056
2058-3834
DOI10.1088/1674-1056/19/1/010508

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Abstract In this paper, a novel adaptive control approach is presented to simultaneously achieve synchronization and antisynchronization in partially linear chaotic systems. Through appropriately separating state vectors of such systems, synchronization and anti-synchronization could be simultaneously realized in different subspaces, which may be strictly proven theoretically. Simulation results for a Lorenz chaotic system and a new hyper-chaotic system are provided to illustrate the effectiveness of the proposed method. Finally, a new secure communication scheme based on such a synchronization phenomenon of the hyper-chaotic system is demonstrated. Numerical results show success in transmitting a periodic signal with high security.
AbstractList In this paper, a novel adaptive control approach is presented to simultaneously achieve synchronization and anti-synchronization in partially linear chaotic systems. Through appropriately separating state vectors of such systems, synchronization and anti-synchronization could be simultaneously realized in different subspaces, which may be strictly proven theoretically. Simulation results for a Lorenz chaotic system and a new hyper-chaotic system are provided to illustrate the effectiveness of the proposed method. Finally, a new secure communication scheme based on such a synchronization phenomenon of the hyper-chaotic system is demonstrated. Numerical results show success in transmitting a periodic signal with high security.
In this paper, a novel adaptive control approach is presented to simultaneously achieve synchronization and antisynchronization in partially linear chaotic systems. Through appropriately separating state vectors of such systems, synchronization and anti-synchronization could be simultaneously realized in different subspaces, which may be strictly proven theoretically. Simulation results for a Lorenz chaotic system and a new hyper-chaotic system are provided to illustrate the effectiveness of the proposed method. Finally, a new secure communication scheme based on such a synchronization phenomenon of the hyper-chaotic system is demonstrated. Numerical results show success in transmitting a periodic signal with high security.
Author 李瑞红 陈为胜 李爽
AuthorAffiliation Department of Applied Mathematics, Xidian University, Xi＇an 710071, China School of Statistics, Xi＇an University of Finance and Economics, Xi＇an 710100, China
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SubjectTerms Adaptive control
Chaos theory
Communication systems
Computer simulation
Lorenz混沌系统
Mathematical models
Security
State vectors
Subspaces
Synchronism
Synchronization
Transmission
仿真结果
周期信号
数值结果
自适应控制
超混沌系统
通信方案
Title A simple method to simultaneously achieve synchronization and anti-synchronization in chaotic systems
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