单向链式网络的激光混沌同步  

Synchronization of Chaotic Lasers in Unidirectional Chain-Connection Network

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

机构地区：[1]辽宁师范大学物理与电子技术学院,辽宁大连116029

出　　处：《中国激光》2010年第10期2533-2536,共4页Chinese Journal of Lasers

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

摘　　要：提出了一种实现单向链式网络激光混沌同步的方法。以具有混沌特性的单模激光洛伦茨-哈肯(Lorenz-Haken)系统作为网络的节点,采用单向链式连接构成复杂网络。基于李雅普诺夫(Lyapunov)稳定性定理,通过构造合适的Lyapunov函数,确定了网络控制输入的具体结构以及实现网络完全同步的条件。研究发现,仅对网络中的一个节点施加控制输入就能使整个网络达到稳定的同步状态。进一步通过仿真模拟验证了理论分析结果的正确性。A method of realizing synchronization of chaotic lasers in unidirectional chain-connection network is proposed.The single-mode laser Lorenz-Haken system with chaotic characteristics is taken as node to construct the complex network in unidirectional chain-connection.The appropriate Lyapunov function is constructed,and the structure of control input and the conditions of realizing global synchronization of the network are discussed and confirmed based on Lyapunov stability theory.It is found that the entire network is steady when the control signal is input only one node of the network.Then the correctness of theoretical analysis is verified by the artificial simulation.

关 键 词：非线性光学 链式网络 混沌同步 LYAPUNOV稳定性定理 

分 类 号：O415.5[理学—理论物理]