Effects of Scale-Free Topological Properties on Dynamical Synchronization and Control in Coupled Map Lattices

作     者：CHEN Wei FANG Jin-Qing KANG Ge-Wen 

作者机构：School of Automation Engineering University of Electronic Science and Technology of China Chengdu 610054 China China Institute of Atomic Energy P.O. Box 275-81 Beijing 102413 China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2007年第47卷第2期

页      面：361-368页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 070104[理学-应用数学] 071101[理学-系统理论] 0701[理学-数学] 

基　　金：The project supported by the Key Program of National Natural Science Foundation of China under Grant No. 70431002 and National Natural Science Foundation of China under Grant Nos. 70371068 and 10247005 The authors thank Drs. Atay and Chun-Guang Li for their useful advices and discussions 

主　　题：scale-free network coupled map lattice dynamical synchronization feedback control timedelayed feedback 

摘      要：In the paper, we study effects of scale-free （SF） topology on dynamical synchronization and control in coupled map lattices （CIVIL）. Our strategy is to apply three feedback control methods, including constant feedback and two types of time-delayed feedback, to a small fraction of network nodes to reach desired synchronous state. Two controlled bifurcation diagrams verses feedback strength are obtained respectively. It is found that the value of critical feedback strength γc for the first time-delayed feedback control is increased linearly as e is increased linearly. The GML with SF loses synchronization and intermittency occurs if γ 〉 γc. Numerical examples are presented to demonstrate all results.