摘要
研究了具有无标度拓扑结构的耦合映象格子的同步和控制,为此,采用3种反馈方法(常数反馈和两种时延反馈)对系统的部分节点进行控制以达到所期望的状态。分别计算和分析了控制后产生的新分岔图。同时发现:对于第一种时延反馈控制,临界反馈控制值线性地随着耦合映象格子的耦合强度的线性增长而增大;当控制强度大于临界反馈控制值时,具有无标度拓扑结构的耦合映象格子系统会失去同步状态进而出现间歇振荡现象。
We study dynamical synchronization and control in coupled map lattices（CML） with scale-free （SF） topology. 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 for the first time-delayed feedback control is increased linearly as the coupled strength is increased linearly. The CML with SF loses synchronization and intermittency occurs if control strength is greater than the critical feedback strength.
出处
《复杂系统与复杂性科学》
EI
CSCD
2006年第1期44-50,共7页
Complex Systems and Complexity Science
关键词
复杂网络
无标度网络
耦合映射格子
反馈控制
同步
complex network
scale-free network
coupled map lattices
feedback control
synchronization
