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projective synchronization of a complex network with different fractional order chaos nodes

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Chinese Physics B 2011年第1期20卷 224-228页

作者：王明军王兴元牛玉军 School of Electronic and Information Engineering Dalian University of Technology School of Information Engineering Dalian University

Based on the stability theory of the linear fractional order system, projective synchronization of a complex network is studied in the paper, and the coupling functions of the connected nodes are identified. With this method, the projective synchronization of the network with different fractional order chaos nodes can be achieved, besides, the number of the nodes does not affect the stability of the whole network. In the numerical simulations, the chaotic fractional order Lu system, Liu system and Coullet system are chosen as examples to show the effectiveness of the scheme.

关键词： fractional order different-structure complex network projective synchronization

projective synchronization of a hyperchaotic system via periodically intermittent control

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Chinese Physics B 2012年第9期21卷 156-160页

作者：黄军建李传东张伟韦鹏程 College of Computer Chongqing University Department of Computer Science Chongqing Education College

We further study the projective synchronization of a new hyperchaotic system. Different from the most existing methods, intermittent control is applied to chaotic synchronization in the present paper. We formulate the intermittent control system that governs the dynamics of the projective synchronization error, then derive the sufficient conditions for the exponential stability of intermittent control system by using the Lyapunov stability theory, and finally establish the periodically intermittent controller according to the stability criterion by which the projective synchronization is expected to be achieved. The analytical results are also demonstrated by several numerical simulations.

关键词： intermittent control hyperchaotic system projective synchronization

projective synchronization of a nonautonomous delayed neural networks with Caputo derivative

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International Journal of Biomathematics 2024年第7期17卷 241-272页

作者： Changyou Wang Zongxin Lei Lili Jia Yuanhua Du Qiuyan Zhang Jun Liu College of Applied Mathematics Chengdu University of Information Technology Chengdu 610225P.R.China Dianchi College of Yunnan University Kunming Yunnan 650228P.R.China School of Mathematical Sciences Sichuan Normal University Chengdu 610066P.R.China School of Automation Chengdu University of Information Technology Chengdu 610225P.R.China

In this paper,the projective synchronization problem of nonautonomous neural networks with time delay and Caputo derivative is ***,by introducing time delay and variable coefficient into the known neural network model,the neural network that can more accurately describe the interaction between neurons is ***,based on the improved neural network model,two global synchronization schemes are achieved,***,by constructing two novel Lyapunov functions and utilizing the properties of delay fractional-order differential inequalities,the asymptotic stability of the zero equilibrium point of the error system obtained from the master-slave systems is proved by some new developing analysis methods,respectively,and some criteria for global projective synchronization of delayed nonautonomous neural networks with Caputo derivatives are obtained,respectively,under two new synchronous *** addition,the correctness of the theoretical results obtained in this paper is verified by some numerical simulation.

关键词： Time delay Caputo derivative nonautonomous neural network projective synchronization

projective synchronization Between Two Nonidentical Variable Time Delayed Systems

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Communications in Theoretical Physics 2012年第3期57卷 395-399页

作者：冯存芳汪映海 School of Electronic and Electrical Engineering Wuhan Textile University Institute of Theoretical Physics Lanzhou University

In this paper, we propose a method for the projective synchronization between two different chaotic systems with variable time delays. Using active control approach, the suitable controller is constructed to make the states of two different diverse time delayed systems asymptotically synchronize up to the desired scaling factor. Based on the Lyapunov stability theory, the sufficient condition for the projective synchronization is calculated theoretically. Numerical simulations of the projective synchronization between Maekey-Glass system and Ikeda system with variable time delays are shown to validate the effectiveness of the proposed algorithm.

关键词： projective synchronization different time-delayed chaotic systems variable time delays

projective synchronization in coupled fractional order chaotic Rossler system and its control

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Chinese Physics B 2007年第9期16卷 2612-2615页

作者：邵仕泉高心刘兴文 School of Electrical and Information Engineering Southwest University for Nationalities of China Chengdu 610041 China

This paper proposes a method to achieve projective synchronization of the fractional order chaotic Rossler system. First, construct the fractional order Rossler system＇s corresponding approximate integer order system, then a control method based on a partially linear decomposition and negative feedback of state errors is utilized on the new integer order system. Mathematic analyses prove the feasibility and the numerical simulations show the effectiveness of the proposed method.

关键词： fractional order chaos synchronization projective synchronization Rossler system

Adaptive projective synchronization of different chaotic systems with nonlinearity inputs

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Chinese Physics B 2012年第3期21卷 112-120页

作者：牛玉军王兴元裴炳南 School of Information Engineering Dalian University School of Electronic & Information Engineering Dalian University of Technology

We investigate the projective synchronization of different chaotic systems with nonlinearity inputs. Based on the adaptive technique, sliding mode control method and pole assignment technique, a novel adaptive projective synchro- nization scheme is proposed to ensure the drive system and the response system with nonlinearity inputs can be rapidly synchronized up to the given scaling factor.

关键词： projective synchronization adaptive technique sliding mode control nonlinearity input

Generalized projective synchronization of two coupled complex networks of different sizes

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Chinese Physics B 2013年第7期22卷 89-95页

作者：李科赞何恩曾朝蓉谢智刚 School of Mathematics and Computing Science Guilin University of Electronic Technology School of Business Guilin University of Electronic Technology Department of Electronic and Information Engineering The Hong Kong Polytechnic University

We investigate a new generalized projective synchronization between two complex dynamical networks of different sizes. To the best of our knowledge, most of the current studies on projective synchronization have dealt with coupled networks of the same size. By generalized projective synchronization, we mean that the states of the nodes in each network can realize complete synchronization, and the states of a pair of nodes from both networks can achieve projective synchronization. Using the stability theory of the dynamical system, several sufficient conditions for guaranteeing the existence of the generalized projective synchronization under feedback control and adaptive control are obtained. As an example, we use Chua’s circuits to demonstrate the effectiveness of our proposed approach.

关键词： complex network projective synchronization adaptive control

Function projective synchronization in partially linear drive-response chaotic systems

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Chinese Physics B 2010年第12期19卷 120-125页

作者：张荣徐振源 School of Science Jiangnan University

This paper gives the definition of function projective synchronization with less conservative demand for a scaling function, and investigates the function projective synchronization in partially linear drive-response chaotic systems. Based on the Lyapunov stability theory, it has been shown that the function projective synchronization with desired scaling function can be realized by simple control law. Moreover it does not need scaling function to be differentiable, bounded and non-vanished. The numerical simulations are provided to verify the theoretical result.

关键词： function projective synchronization projective synchronization scaling function partially linear system

Adaptive Function projective synchronization of Discrete Chaotic Systems with Unknown Parameters

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Chinese Physics Letters 2010年第5期27卷 33-35页

作者：吴召艳傅新楚 College of Mathematics and Information Science Jiangxi Normal University Nanchang 330022 Department of Mathematics Shanghai University Shanghai 200444

Adaptive function projective synchronization of discrete-time chaotic systems with unknown parameters is considered. Based on the contraction mapping theorem, proper controllers and estimators are designed. Illustrati... 详细信息

关键词： projective synchronization Discrete Chaotic Unknown Parameters