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

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

中国物理B ›› 2011, Vol. 20 ›› Issue (1): 10508-010508.doi: 10.1088/1674-1056/20/1/010508

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

王兴元¹, 牛玉军¹, 王明军²

(1)School of Electronic and Information Engineering, Dalian University of Technology, Dalian 116024, China; (2)School of Electronic and Information Engineering, Dalian University of Technology, Dalian 116024, China;School of Information Engineering, Dalian University, Dalian 116622, China

收稿日期:2010-05-20 修回日期:2010-06-10 出版日期:2011-01-15 发布日期:2011-01-15
基金资助:
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).

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

Wang Ming-Jun(王明军)^a)b), Wang Xing-Yuan(王兴元)^a)^†, and Niu Yu-Jun(牛玉军)^a)

^a School of Electronic and Information Engineering, Dalian University of Technology, Dalian 116024, China; ^b School of Information Engineering, Dalian University, Dalian 116622, China

Received:2010-05-20 Revised:2010-06-10 Online:2011-01-15 Published:2011-01-15
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: fractional order, different-structure, complex network, projective synchronization

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.

Key words: fractional order, different-structure, complex network, projective synchronization

中图分类号: (Control of chaos, applications of chaos)

05.45.Gg

05.45.Xt (Synchronization; coupled oscillators)

王明军, 王兴元, 牛玉军. Projective synchronization of a complex network with different fractional order chaos nodes[J]. 中国物理B, 2011, 20(1): 10508-010508.

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[J]. Chin. Phys. B, 2011, 20(1): 10508-010508.

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

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

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