Generalized chaos synchronization of a weighted complex network with different nodes

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

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.

Keywords: chaos synchronization weighted network diverse structure Lyapunov stability theory

Received: 16 December 2009
Revised: 25 January 2010
Accepted manuscript online:

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	89.75.Hc	(Networks and genealogical trees)

Fund: 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).

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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 2010 Chin. Phys. B 19 080507

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Generalized chaos synchronization of a weighted complex network with different nodes

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