激光时空混沌模型的加权网络投影同步  

Projective synchronization of a weighted network in a laser spatiotemporal chaos model

作　　者：吕翎[1] 孟乐[1] 郭丽[1] 邹家蕊[1] 杨明[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》2011年第3期124-129,共6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：提出了一种实现加权网络时空混沌投影同步的方法.通过构造合适的Lyapunov函数,确定了加权网络中连接节点之间耦合函数的结构以及网络节点状态方程中分离配置的线性项的系数矩阵的取值范围.以Bragg声光双稳系统作为局域函数,单向耦合映像格子作为空间扩展系统构成激光时空混沌模型.通过仿真模拟检验了采用激光时空混沌模型作为网络节点的加权网络的投影同步效果.结果显示,对于任意的节点之间耦合强度的权重值,加权网络的投影同步均可以实现.A method is introduced to realize spatiotemporal chaos projective synchronization for a weighted network. The coupling function between connected nodes of the weighted network is derived and the range of the linear coefficient matrix of separated configuration in state equation of the node is obtained through constructing an appropriate Lyapunov function. Each node of the weight network is a laser spatiotemporal chaos model in which Bragg acousto-optical bistable system and unilateral coupled map lattices are taken as the local function and the spatial extended system,respectively. The projective synchronization effect of the weighted network is checked by numerical emulation. The results show that projective synchronization can be realized even if the coupling strength between the nodes are given arbitrary weight values.

关 键 词：投影同步 加权网络 时空混沌 Bragg声光双稳系统 

分 类 号：O415.5[理学—理论物理]