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通过模型匹配控制实现同构和非同构混沌系统的复杂网络同步。

Synchronization of complex networks of identical and nonidentical chaotic systems via model-matching control.

机构信息

Centro Universitario de los Lagos, Universidad de Guadalajara (UDG), Jalisco, México.

Universidad Autónoma de Nuevo León (UANL), Nuevo León, México.

出版信息

PLoS One. 2019 May 23;14(5):e0216349. doi: 10.1371/journal.pone.0216349. eCollection 2019.

DOI:10.1371/journal.pone.0216349
PMID:31120901
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC6532863/
Abstract

In this work, a synchronization scheme for networks of complex systems is presented. The proposed synchronization scheme uses a control law obtained with some definitions from graph theory and solving the Model-Matching Problem for complex networks. In particular, Rössler, Chen, Lorenz and Lü chaotic systems are used as complex chaotic systems into complex networks. Particular cases with regular and irregular networks of six identical chaotic systems are implemented, with some well-known topologies as star and ring small-world, and tree topologies. Highlighting, the obtained control law is applied to synchronize an irregular network of six different chaotic systems in a tree topology. The usefulness and advantages of the proposed synchronization scheme are highlighted performing numerical simulations of the chaotic complex networks.

摘要

本文提出了一种复杂系统网络的同步方案。所提出的同步方案使用了一种控制律，该控制律是通过图论中的一些定义和解决复杂网络的模型匹配问题得到的。具体来说，使用了 Rössler、Chen、Lorenz 和 Lü 混沌系统作为复杂混沌系统进入复杂网络。实现了具有六个相同混沌系统的规则和不规则网络的特殊情况，以及星型和环形小世界以及树型等一些知名拓扑结构。值得注意的是，所得到的控制律被应用于在树型拓扑中同步六个不同混沌系统的不规则网络。通过对混沌复杂网络的数值模拟，突出了所提出的同步方案的有用性和优势。

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