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Liu, Song; Zhou, Xianfeng; Jiang, Wei; Fan, Yizheng

Adaptive exponential synchronization of coupled complex networks on general graphs. (English) Zbl 1272.05209

Abstr. Appl. Anal. 2013, Article ID 854793, 5 p. (2013).
Summary: We investigate the synchronization in complex dynamical networks, where the coupling configuration corresponds to a weighted graph. An adaptive synchronization method on general coupling configuration graphs is given. The networks may synchronize at an arbitrarily given exponential rate by enhancing the updated law of the variable coupling strength and achieve synchronization more quickly by adding edges to original graphs. Finally, numerical simulations are provided to illustrate the effectiveness of our theoretical results.

Cited in 1 Document

MSC:

05C90 Applications of graph theory
05C22 Signed and weighted graphs

Keywords:

synchronization; complex dynamical networks; weighted graph; coupling configuration; numerical simulations
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