Outer synchronization between two different fractional-order general complex dynamical networks

doi:10.1088/1674-1056/19/7/070511

中国物理B ›› 2010, Vol. 19 ›› Issue (7): 70511-070511.doi: 10.1088/1674-1056/19/7/070511

Outer synchronization between two different fractional-order general complex dynamical networks

武相军, 卢宏涛

Department of Computer Science and Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

出版日期:2010-07-15 发布日期:2010-07-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 60873133) and the National High Technology Research and Development Program of China (Grant No. 2007AA01Z478).

Outer synchronization between two different fractional-order general complex dynamical networks

Wu Xiang-Jun (武相军), Lu Hong-Tao (卢宏涛)

Department of Computer Science and Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

Online:2010-07-15 Published:2010-07-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 60873133) and the National High Technology Research and Development Program of China (Grant No. 2007AA01Z478).

摘要/Abstract

摘要： Outer synchronization between two different fractional-order general complex dynamical networks is investigated in this paper. Based on the stability theory of the fractional-order system, the sufficient criteria for outer synchronization are derived analytically by applying the nonlinear control and the bidirectional coupling methods. The proposed synchronization method is applicable to almost all kinds of coupled fractional-order general complex dynamical networks. Neither a symmetric nor irreducible coupling configuration matrix is required. In addition, no constraint is imposed on the inner-coupling matrix. Numerical examples are also provided to demonstrate the validity of the presented synchronization scheme. Numeric evidence shows that both the feedback strength k and the fractional order α can be chosen appropriately to adjust the synchronization effect effectively.

Abstract: Outer synchronization between two different fractional-order general complex dynamical networks is investigated in this paper. Based on the stability theory of the fractional-order system, the sufficient criteria for outer synchronization are derived analytically by applying the nonlinear control and the bidirectional coupling methods. The proposed synchronization method is applicable to almost all kinds of coupled fractional-order general complex dynamical networks. Neither a symmetric nor irreducible coupling configuration matrix is required. In addition, no constraint is imposed on the inner-coupling matrix. Numerical examples are also provided to demonstrate the validity of the presented synchronization scheme. Numeric evidence shows that both the feedback strength k and the fractional order α can be chosen appropriately to adjust the synchronization effect effectively.

Key words: the fractional-order system, complex networks, synchronization, bidirectional coupling

中图分类号: (Networks and genealogical trees)

89.75.Hc

05.45.Xt (Synchronization; coupled oscillators) 02.30.Yy (Control theory) 89.20.Hh (World Wide Web, Internet)

武相军, 卢宏涛. Outer synchronization between two different fractional-order general complex dynamical networks[J]. 中国物理B, 2010, 19(7): 70511-070511.

Wu Xiang-Jun (武相军), Lu Hong-Tao (卢宏涛). Outer synchronization between two different fractional-order general complex dynamical networks[J]. Chin. Phys. B, 2010, 19(7): 70511-070511.

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Outer synchronization between two different fractional-order general complex dynamical networks

Outer synchronization between two different fractional-order general complex dynamical networks

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