延迟耦合的三节点VCSEL网络的全局性完全混沌同步的判定

量子电子学报

延迟耦合的三节点VCSEL网络的全局性完全混沌同步的判定

钟东洲*，肖珍珍，杨广泽

五邑大学，广东江门 529020

出版日期:2019-09-28 发布日期:2019-09-18
作者简介:钟东洲（1977-），男，江西瑞金人，博士，教授，硕士生导师，主要从事高速光信息处理，激光混沌保密通信等方面的研究。E-mail：dream_yu2002@126.com
基金资助:
Supported by the National Natural Science Foundation of China (国家自然科学基金项目，61475120),Major Projects of Basic and Applied Research for Natural Science of Guangdong province in china (广东省重大基础及其应用研究（自然科学类）项目，2017KZDXM086)

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

ZHONG Dong-zhou*, XIAO Zhen-zhen, YANG Guang-ze

Wuyi University, Jiangmen Guangdong 529020, China

Published:2019-09-28 Online:2019-09-18

摘要/Abstract

摘要： 对于不同的三节点垂直腔面发射激光器（VCSEL）网络，我们利用主稳态函数（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。结果发现，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，我们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。

关键词: 激光器与激光器光学, 完全混沌同步, 主稳态函数, 复杂网络, 延迟光反馈

Abstract: For diverse three node vertical-cavity surface-emitting laser (VCSEL) networks, we proposed a new criterion of the globally complete chaos synchronization (GCCS) among all node lasers by using the mater-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 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, we further explored the synchronization properties in three-node VCSEL network with the ring topology. As a result, the theoretical criterion is in excellent agreement with our numerical results, which indicate that the theoretical criterion is valid and feasible.

Key words: lasers and laser optics, complete chaos synchronization, mater stability function, complex network, delayed optical feedback

钟东洲*，肖珍珍，杨广泽. 延迟耦合的三节点VCSEL网络的全局性完全混沌同步的判定[J]. 量子电子学报.

ZHONG Dong-zhou*, XIAO Zhen-zhen, YANG Guang-ze. Criterion of globally complete chaos synchronization for diverse three-node VCSEL networks with coupling delays[J]. Chinese Journal of Quantum Electronics.

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