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chaotic synchronization via linear controller

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Chinese Physics B 2007年第4期16卷 937-941页

作者：陈凤祥张卫东 Department of Automation Shanghai Jiaotong University Shanghai 200240 China

A technical framework of constructing a linear controller for chaotic synchronization by utilizing the stability theory of cascade-connected system is presented. Based on the method developed in the paper, two simple and linear feedback controllers, as examples, are derived for the synchronization of Liu chaotic system and Duffing oscillator, respectively. This method is quite flexible in constructing a control law. Its effectiveness is also illustrated by the simulation results.

关键词： linear controller chaotic synchronization Liu system Duffing oscillator

chaotic synchronization based on nonlinear state-observer and its application in secure communication

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Journal of Marine Science and Application 2004年第1期3卷 64-70页

作者： CHENMing-jie LIDian-pu ZHANGAi-jun SchoolofAutomation HarbinEngineeringuniversityHarbin150001China

chaotic synchronization is a branch of chaotic control. Nowadays, the research and application of chaotic synchronization have become a hot topic and one of the development directions is for the research on chaos. In this paper, a universal nonlinear stateobserver is presented for a class of universal chaotic systems to realize the chaotic synchronization, according to the theory of state-observer in the modern control theory. And theoretic analysis and simulation results have illustrated the validity of the approach. Moreover, the approach of synchronization proposed in this paper is very easy, flexible and universal with high synchronization *** the approach is applied to secure communication, the results are satisfying.

关键词： chaotic synchronization nonlinear stoLe-observer synchronization error secure communication

chaotic synchronization for two new different chaotic systems

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Chaotic synchronization for two new different chaotic system...

2007年中国智能自动化会议

作者：周平曹玉霞 Institute for Nonlinear Systems Chongqing University of Posts and Telecomm Library of Chongqing University of Posts and Telecomm

One chaotic synchronization method for two new chaotic systems was established and the mathematical proof of this method was *** control law theoretically rigorous was *** analysis and simulation results show that the... 详细信息

关键词： different chaotic system chaotic synchronization feedback control

Dynamics of erbium-doped fibre laser with optical delay feedback and chaotic synchronization

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Chinese Physics B 2007年第10期16卷 2908-2912页

作者：范文华田小建陈菊芳郑凡于永力高博罗红娥 College of Electronic Science and Engineering Jilin University Changchun 130012 China College of Physics Northeast Normal University Changchun 130024 China

The dynamical behaviour of the erbium-doped fibre single-ring laser with an optical delay feedback is discussed. Simulation shows that as the delay rate increases, the lasing light displays period-doubling which leads to chaos and via reverse period-doubling route returns from chaos to periodic. At a particular delay rate the intermittently chaotic route to chaos is also observed. The identical synchronization based on chaos in this ring laser is demonstrated by numerical simulation.

关键词： erbium-doped fibre laser bifurcation chaotic synchronization

chaotic synchronization for a General Complex Networks with Coupling Delay Based on Pinning Control

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Chaotic Synchronization for a General Complex Networks with ...

第三十届中国控制会议

作者： GONG Dawei,ZHANG Huaguang,WANG Zhanshan,SUN Ning School of Information Science and Engineering,Northeastern University,Shenyang 110819,P.R.China

＜正＞On the basis of Lyapunov stability theory,this paper is concerned with the problem of pinning synchronization for a general complex networks with coupling ***,we designed a controller to keep the system synchronized,the results which we obtain have mild constraint conditions,and the number of nodes which we need to control can be easily computed. Furthermore,applying the same theory,an adaptive pinning control scheme is developed to achieve synchronization of this general complex ***,simulation examples are given to verify the obtained theoretical analysis.

关键词： chaotic synchronization Pinning Control Adaptive Coupling Delay

chaotic synchronization in RCL-shunted Josephson Junctions

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Chaotic Synchronization in RCL-shunted Josephson Junctions

第二十九届中国控制会议

作者： LU Pingli1,2,YANG Ying3 1.School of Automation,Beijing Institute of Technology,Beijing 100081,P.R.China2.Key Laboratory of Complex System Intelligent Control and Decision(Beijing Institute of Technology),3.Department of Mechanics and Engineering Science,Peking University,Beijing 100871,P.R.China

chaotic synchronization criteria for a class of dynamical networks with each node being RCL-shunted Josephson junction is proposed in this *** proposed algorithms,which are established in terms of linear matrix inequalities（LMIs）,guarantee the synchronized states to be global asymptotically *** addition,an interesting conclusion is reached that the chaotic synchronization in the coupled whole 3N-dimensional networks can be converted into that of 3-dimensional space.

关键词： Josephson Junctions chaotic synchronization Globally Asymptotically Stable LMIs

chaotic synchronization of Two Coupled Neurons via Nonlinear Control

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Chaotic Synchronization of Two Coupled Neurons via Nonlinear...

第二十四届中国控制会议

作者： Wang Jiang, Deng Bin (School of Electrical and Automation Eng., Tianjin University, Tianjin 300072)

＜正＞ The chaotic synchronization of two electrical coupled neurons via nonlinear control is investigated. The coupled model is based on the nonlinear cable model and the two neurons are coupled with gap junction. If the controller were not applied, the synchronization would occur only when the couple strength of gap junction satisfied some condition. Using techniques from modern control theory, a nonlinear controller can be obtained that result in two of coupled neurons being synchronized with each other without needing to consider the couple strength of gap junction. The detailed derivation that leads to the nonlinear controller and numerical results that verify the controller’s ability to synchronize the two neurons together are included.

关键词： chaotic synchronization neurons nonlinear control

Communications using multi—mode laser system based on chaotic synchronization

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Chinese Physics B 2003年第3期12卷 300-304页

作者：吴亮朱士群等 Departmentofphysics CollegeofSciencesSuzhouUniversitySuzhou215006China

The communication using chaotic synchronization between two multi-mode Nd:YAG lasers has been investigated numerically. The digital communication using multi-mode chaotic lasers is quite different from that using single mode lasers. By introducing a short break between two adjacent bits in the communication scheme, the digital signals can be successfully encoded into the spiky pulses and decoded through the subtraction of receiver output from the *** when the two multi-mode lasers are not synchronized perfectly with certain deviations, the encoded digits can still be decoded correctly.

关键词： digital communication multi-mode laser system chaotic synchronization

chaotic synchronization for Dynamical System Constructed on Star Network

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Journal of Shanghai University(English Edition) 2004年第2期8卷 124-127页

作者：樊庆端刘曾荣 Shanghai Institute of Applied Mathematics and Mechanics Department of Mathematics

Using an example, it was analytically proved that the dynamical systems constructed on a star coupled network is more easy to be synchronized than that in coupled map lattices (CML). The result shows that the synchronization in small-world networks may be realized more easily. Key words Lyapunov exponent - chaotic synchronization - small-world networks MSC 2000 37D45 Project supported by the National Natural Science Foundation of China(Grant No. 10171061)

关键词： Lyapunov exponent chaotic synchronization small-world networks