中国激光, 2010, 37 (10): 2533, 网络出版: 2010-09-25
单向链式网络的激光混沌同步
Synchronization of Chaotic Lasers in Unidirectional Chain-Connection Network
非线性光学 链式网络 混沌同步 Lyapunov稳定性定理 nonlinear optics chain-connection network chaos synchronization Lyapunov stability theory
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。
Abstract
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.
吕翎, 李钢, 孟乐, 杨明, 郭丽, 邹家蕊, 李春清, 柴元. 单向链式网络的激光混沌同步[J]. 中国激光, 2010, 37(10): 2533. Lü Ling, Li Gang, Meng Le, Yang Ming, Guo Li, Zou Jiarui, Li Chunqing, Chai Yuan. Synchronization of Chaotic Lasers in Unidirectional Chain-Connection Network[J]. Chinese Journal of Lasers, 2010, 37(10): 2533.