Synchronization in asymmetrically coupled networks with node balance

被引:79
作者
Belykh, I [1 ]
Belykh, V
Hasler, M
机构
[1] Georgia State Univ, Dept Math & Stat, Atlanta, GA 30303 USA
[2] Ecole Polytech Fed Lausanne, Sch Comp & Commun Sci, Stn 14, CH-1015 Lausanne, Switzerland
[3] Volga State Acad, Dept Math, Nizhnii Novgorod 603600, Russia
关键词
D O I
10.1063/1.2146180
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study global stability of synchronization in asymmetrically connected networks of limit-cycle or chaotic oscillators. We extend the connection graph stability method to directed graphs with node balance, the property that all nodes in the network have equal input and output weight sums. We obtain the same upper bound for synchronization in asymmetrically connected networks as in the network with a symmetrized matrix, provided that the condition of node balance is satisfied. In terms of graphs, the symmetrization operation amounts to replacing each directed edge by an undirected edge of half the coupling strength. It should be stressed that without node balance this property in general does not hold. (C) 2006 American Institute of Physics.
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页数:9
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