Synchronization of multi-group coupled systems on networks with reaction-diffusion terms based on the graph-theoretic approach

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• 作者：Tianrui Chen^aAuthor Vitae ; Ruisong Wang^bAuthor Vitae ; Boying Wu^a ; ^{mathwby@163.com}Author Vitae
• 关键词：Synchronization ; Multi-group coupled systems ; Reaction-diffusion terms ; Graph theory
• 刊名：Neurocomputing
• 出版年：2017
• 出版时间：1 March 2017
• 年：2017
• 卷：227
• 期：Complete
• 页码：54-63
• 全文大小：7270 K
• 卷排序：227

文摘

In this paper, we present mainly the analysis of synchronization of multi-group coupled systems on networks with reaction-diffusion terms (MCSNRTs). Specially, we provide a novel graph-theoretic approach which is very helpful in the respect of constructing a global Lyapunov function. Then, based on graph-theoretic approach and Lyapunov method, two kinds of sufficient criteria that one is Lyapunov-type theorem and the other is coefficient-type theorem are acquired to guarantee the synchronization of MCSNRTs. Finally, a numerical example is offered to demonstrate the practicability and effectiveness of our main results.