大规模富社团网络的时空混沌同步  

Synchronization of spatiotemporal chaos in large scale rich-club network

作　　者：吕翎[1] 邹家蕊[1] 杨明[1] 孟乐[1] 郭丽[1] 柴元[1] 

机构地区：[1]辽宁师范大学物理与电子技术学院,大连116029

出　　处：《物理学报》2010年第10期6864-6870,共7页Acta Physica Sinica

基　　金：辽宁省自然科学基金(批准号:20082147);辽宁省教育厅创新团队计划(批准号:2008T108)资助的课题~~

摘　　要：以Plankton时空混沌系统作为网络节点,通过非线性耦合构成富社团(rich-club,RC)网络,研究其时空混沌同步规律.首先给出了RC网络中连接节点之间的非线性耦合函数的一般性选取原则.进而基于Lyapunov稳定性定理,理论分析了实现网络同步的条件.最后,通过仿真模拟检验了网络的时空混沌同步效果.仿真研究表明,RC网络中各富节点之间以及这些富节点各自星形连接的子网络中的所有节点均实现了完全同步。The Plankton spatiotemporal chaos system is taken as network node and constructed as a rich-club network through nonlinear coupling.The synchronization of spatiotemporal chaos for the above network is investigated.The general selection rule of nonlinear coupling function connecting nodes in the rich-club network is presented.Furthermore,the condition to realize the network synchronization is analyzed theoretically based on Lyapunov stability theory.Finally,the synchronization effect of spatiotemporal chaos for the rich-club network is checked through artificial simulation.The results show that complete synchronization can be realized for all rich nodes in the rich-club network and all nodes in every subnetwork constructed in star-shape.

关 键 词：同步 时空混沌 富社团网络 LYAPUNOV稳定性定理 

分 类 号：O415.5[理学—理论物理] O157.5[理学—物理]