Generalized projective synchronization of fractional-order complex networks with nonidentical nodes

doi:10.1088/1674-1056/21/12/120506

Chin. Phys. B ›› 2012, Vol. 21 ›› Issue (12): 120506-120506.doi: 10.1088/1674-1056/21/12/120506

Generalized projective synchronization of fractional-order complex networks with nonidentical nodes

刘金桂

Faculty of Mathematics and Physics, Huaiyin Institute of Technology, Huaian 223003, China

收稿日期:2012-06-19 修回日期:2012-07-11 出版日期:2012-11-01 发布日期:2012-11-01

Generalized projective synchronization of fractional-order complex networks with nonidentical nodes

Liu Jin-Gui (刘金桂)

Faculty of Mathematics and Physics, Huaiyin Institute of Technology, Huaian 223003, China

Received:2012-06-19 Revised:2012-07-11 Online:2012-11-01 Published:2012-11-01
Contact: Liu Jin-Gui E-mail:liujg2004@126.com

摘要/Abstract

摘要： This paper investigates the synchronization problem of fractional-order complex networks with nonidentical nodes. The generalized projective synchronization criterion of fractional-order complex networks with order 0 < q < 1 is obtained based on the stability theory of the fractional-order system. The control method which combines active control with pinning control is then suggested to obtain the controllers. Furthermore, the adaptive strategy is applied to tune the control gains and coupling strength. Corresponding numerical simulations are performed to verify and illustrate the theoretical results.

关键词: fractional-order complex networks, generalized projective synchronization, pinning control, adaptive coupling law

Abstract: This paper investigates the synchronization problem of fractional-order complex networks with nonidentical nodes. The generalized projective synchronization criterion of fractional-order complex networks with order 0 < q < 1 is obtained based on the stability theory of the fractional-order system. The control method which combines active control with pinning control is then suggested to obtain the controllers. Furthermore, the adaptive strategy is applied to tune the control gains and coupling strength. Corresponding numerical simulations are performed to verify and illustrate the theoretical results.

Key words: fractional-order complex networks, generalized projective synchronization, pinning control, adaptive coupling law

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

05.45.Gg

05.45.Xt (Synchronization; coupled oscillators)

刘金桂. Generalized projective synchronization of fractional-order complex networks with nonidentical nodes[J]. Chin. Phys. B, 2012, 21(12): 120506-120506.

Liu Jin-Gui (刘金桂). Generalized projective synchronization of fractional-order complex networks with nonidentical nodes[J]. Chin. Phys. B, 2012, 21(12): 120506-120506.

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Generalized projective synchronization of fractional-order complex networks with nonidentical nodes

Generalized projective synchronization of fractional-order complex networks with nonidentical nodes

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