延迟耦合三节点VCSEL网络的全局性 完全混沌同步判定

钟东洲; 肖珍珍; 杨广泽

doi:doi:10.3969/j.issn.1007-5461. 2019.05.011

量子电子学报, 2019, 36 (5): 575, 网络出版: 2019-10-14

延迟耦合三节点VCSEL网络的全局性完全混沌同步判定

Criterion of globally complete chaos synchronization for three-node VCSEL networks with coupling delays

论文大纲

钟东洲 ^*肖珍珍杨广泽

作者单位

五邑大学智能制造学部工业互联网与通信系, 广东江门 529020

激光光学完全混沌同步主稳态函数复杂网络延迟光反馈 laseroptics complete chaos synchroni冗ation master stability function complex network delayed optical feedback

摘要

对于不同的三节点垂直腔面发射激光器(VCSEL)网络,利用主稳态函数(MSF)提出了一个新的所有节点激光器之间达到全局完全混沌同步(GCCS)的判定方法。发现当由常行和与两个横断特征值所确定的两点在稳定性区域内(MLE为负),并且MLE作为常行和以及特征值(与同步流形内的扰动有关)的函数是正的,那么这个任意给定的三节点VCSEL网络能够达到GCCS。该判定方法可以推广到多节点(四节点以上)VCSEL网络中。基于理论判定和同步误差理论,进一步探索了具有环形拓扑结构的三节点VCSEL网络的同步性质。结果显示,理论判定和数值结果完全吻合,这表明理论判定是有效可行的。

Abstract

For diverse three-node vertical-cavity surface-emitting laser (VCSEL) networks, a new criterion of the globally complete chaos synchronization (GCCS) among all node lasers is proposed by using the master-stability function (MSF). It is found that GCCS can be achieved for an arbitrarily given three-node VCSEL networks when two points determined by constant row sum and two transversal eigenvalues fall into the region of stability where maximum Lyapunov exponent (MLE) is negative and the MLE as a function of constant row sum and the eigenvalue associated to perturbations within the synchronization manifold is positive. The criterion can be generalized to multiple (more than four) nodes VCSEL networks. Based on the theoretical criterion and synchronization error theory, the synchronization properties in three-node VCSEL network with the ring topology are further explored. As a result, the theoretical criterion is in excellent agreement with the numerical results, which indicate that the theoretical criterion is valid and feasible.

参考文献

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钟东洲, 肖珍珍, 杨广泽. 延迟耦合三节点VCSEL网络的全局性完全混沌同步判定[J]. 量子电子学报, 2019, 36(5): 575. ZHONGDongzhou, XIAO Zhenzhen, YANG Guangze. Criterion of globally complete chaos synchronization for three-node VCSEL networks with coupling delays[J]. Chinese Journal of Quantum Electronics, 2019, 36(5): 575.

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