Generalized chaos synchronization of a weighted complex network with different nodes

doi:10.1088/1674-1056/19/8/080507

中国物理B ›› 2010, Vol. 19 ›› Issue (8): 80507-080507.doi: 10.1088/1674-1056/19/8/080507

Generalized chaos synchronization of a weighted complex network with different nodes

吕翎, 李钢, 郭丽, 孟乐, 邹家蕊, 杨明

College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China

收稿日期:2009-12-16 修回日期:2010-01-25 出版日期:2010-08-15 发布日期:2010-08-15
基金资助:
Project supported by the Natural Science Foundation of Liaoning Province, China (Grant No. 20082147) and the Innovative Team Program of Liaoning Educational Committee, China (Grant No. 2008T108).

Generalized chaos synchronization of a weighted complex network with different nodes

Lü Ling(吕翎)^†, Li Gang(李钢), Guo Li(郭丽), Meng Le(孟乐),Zou Jia-Rui(邹家蕊), and Yang Ming(杨明)

College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China

Received:2009-12-16 Revised:2010-01-25 Online:2010-08-15 Published:2010-08-15
Supported by:
Project supported by the Natural Science Foundation of Liaoning Province, China (Grant No. 20082147) and the Innovative Team Program of Liaoning Educational Committee, China (Grant No. 2008T108).

摘要/Abstract

摘要： This paper proposes a method of realizing generalized chaos synchronization of a weighted complex network with different nodes. Chaotic systems with diverse structures are taken as the nodes of the complex dynamical network, the nonlinear terms of the systems are taken as coupling functions, and the relations among the nodes are built through weighted connections. The structure of the coupling functions between the connected nodes is obtained based on Lyapunov stability theory. A complex network with nodes of Lorenz system, Coullet system, Rõssler system and the New system is taken as an example for simulation study and the results show that generalized chaos synchronization exists in the whole weighted complex network with different nodes when the coupling strength among the nodes is given with any weight value. The method can be used in realizing generalized chaos synchronization of a weighted complex network with different nodes. Furthermore, both the weight value of the coupling strength among the nodes and the number of the nodes have no effect on the stability of synchronization in the whole complex network.

Abstract: This paper proposes a method of realizing generalized chaos synchronization of a weighted complex network with different nodes. Chaotic systems with diverse structures are taken as the nodes of the complex dynamical network, the nonlinear terms of the systems are taken as coupling functions, and the relations among the nodes are built through weighted connections. The structure of the coupling functions between the connected nodes is obtained based on Lyapunov stability theory. A complex network with nodes of Lorenz system, Coullet system, Rössler system and the New system is taken as an example for simulation study and the results show that generalized chaos synchronization exists in the whole weighted complex network with different nodes when the coupling strength among the nodes is given with any weight value. The method can be used in realizing generalized chaos synchronization of a weighted complex network with different nodes. Furthermore, both the weight value of the coupling strength among the nodes and the number of the nodes have no effect on the stability of synchronization in the whole complex network.

Key words: chaos synchronization, weighted network, diverse structure, Lyapunov stability theory

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

89.75.Hc (Networks and genealogical trees)

吕翎, 李钢, 郭丽, 孟乐, 邹家蕊, 杨明. Generalized chaos synchronization of a weighted complex network with different nodes[J]. 中国物理B, 2010, 19(8): 80507-080507.

Lü Ling(吕翎), Li Gang(李钢), Guo Li(郭丽), Meng Le(孟乐),Zou Jia-Rui(邹家蕊), and Yang Ming(杨明). Generalized chaos synchronization of a weighted complex network with different nodes[J]. Chin. Phys. B, 2010, 19(8): 80507-080507.

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Generalized chaos synchronization of a weighted complex network with different nodes

Generalized chaos synchronization of a weighted complex network with different nodes

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