摘要
本文考察了链状、环状和全局三种连接方式的双向耦合网络的拓扑结构对Arneodo混沌系统的同步能力的影响.基于线性稳定性理论,通过计算最大条件李雅普洛夫指数,得到了体系处于混沌同步时的耦合强度的最小临界值,发现三种不同拓扑结构的网络中,全局耦合的网络同步时耦合强度比其它两种都小,这表明全局耦合网络同步能力最强,链状网络同步能力最差.最后通过对连接图判据和数值计算结果的比较,验证了数值计算结果的可靠性.
In this paper, the effect of network topological structure for chaos synchronization in Arneodo system has been investigated in three different bi-directional coupling connections： chain connection, ring connection and global connection. Based on linear stability theory, critical coupling strength for chaos synchronization has been obtained by calculating maximal conditional Lyapunov exponent. It shows that there exists the best synchronous ability for global connection and the worst one while for chain connection. In addition, the result of numerical calculation is dependable due to the comparison with connection graph based stability method.
出处
《安徽师范大学学报（自然科学版）》
CAS
2007年第3期259-262,共4页
Journal of Anhui Normal University(Natural Science)
基金
安徽高校省级自然科学研究重点项目(KJ2007A079)
安徽师范大学专项基金项目(2006xzx09)
安徽师范大学博士启动基金(2005BSQDJJ)
关键词
复杂网络
混沌同步
李雅普洛夫指数
complex network
chaos synchronization
Lyapunov exponent
