Projective synchronization of a complex network with different fractional order chaos nodes

doi:10.1088/1674-1056/20/1/010508

Abstract Based on the stability theory of the linear fractional order system, projective synchronization of a complex network is studied in the paper, and the coupling functions of the connected nodes are identified. With this method, the projective synchronization of the network with different fractional order chaos nodes can be achieved, besides, the number of the nodes does not affect the stability of the whole network. In the numerical simulations, the chaotic fractional order Lü system, Liu system and Coullet system are chosen as examples to show the effectiveness of the scheme.

Keywords: fractional order different-structure complex network projective synchronization

Received: 20 May 2010
Revised: 10 June 2010
Accepted manuscript online:

PACS:	05.45.Gg	(Control of chaos, applications of chaos)
	05.45.Xt	(Synchronization; coupled oscillators)

Fund: Project supported by the National Natural Science Foundation of China (Nos. 60573172 and 60973152), the Superior University Doctor Subject Special Scientific Research Foundation of China (Grant No. 20070141014), and the Natural Science Foundation of Liaoning Province, China (Grant No. 20082165).

Cite this article:

Wang Ming-Jun(王明军), Wang Xing-Yuan(王兴元), and Niu Yu-Jun(牛玉军) Projective synchronization of a complex network with different fractional order chaos nodes 2011 Chin. Phys. B 20 010508

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