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Chin. Phys. B, 2012, Vol. 21(12): 120506    DOI: 10.1088/1674-1056/21/12/120506
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Generalized projective synchronization of fractional-order complex networks with nonidentical nodes

Liu Jin-Gui
Faculty of Mathematics and Physics, Huaiyin Institute of Technology, Huaian 223003, China
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.
Keywords:  fractional-order complex networks      generalized projective synchronization      pinning control      adaptive coupling law  
Received:  19 June 2012      Revised:  11 July 2012      Published:  01 November 2012
PACS:  05.45.Gg (Control of chaos, applications of chaos)  
  05.45.Xt (Synchronization; coupled oscillators)  
Corresponding Authors:  Liu Jin-Gui     E-mail:

Cite this article: 

Liu Jin-Gui Generalized projective synchronization of fractional-order complex networks with nonidentical nodes 2012 Chin. Phys. B 21 120506

[1] Watts D J and Strogatz S H 1998 Nature 393 440
[2] Barabsi A L and Albert R 1999 Science 286 509
[3] Wang X F and Chen G R 2002 Int. J. Bifur. Chaos 12 187
[4] Lee T H and Park J H 2009 Chin. Phys. Lett. 26 090507
[5] Wang X F and Chen G R 2002 IEEE Trans. Circ. Syst. I 49 54
[6] Park J H 2009 Mod. Phys. Lett. B 23 1889
[7] Liu T, Zhao J and Hill D J 2009 Chaos, Solitons and Fractals 40 1506
[8] Ji D H, Lee D W, Koo J H, Won S C, Lee S M and Park J H 2011 Nonlinear Dyn. 65 349
[9] Tu L L 2011 Chin. Phys. B 20 030504
[10] Du R J, Dong G G, Tian L X, Zheng S and Sun M 2010 Chin. Phys. B 19 070509
[11] Lee T H, Park J H, Jung H Y, Lee S M and Kwon O M 2012 Nonlinear Dyn. 69 1081
[12] Delshad S S, Asheghan M M and Beheshti M H 2011 Commun. Nonlinear Sci. Numer. Simul. 16 3815
[13] Wang J W and Zhang Y B 2010 Phys. Lett. A 374 1464
[14] Wu X J and Lu H T 2010 Chin. Phys. B 19 070511
[15] Wang M J, Wang X Y and Niu Y J 2011 Chin. Phys. B 20 010508
[16] Liu Z B, Zhang H G and Sun Q Y 2010 Chin. Phys. B 19 090506
[17] Yu W W, Chen G R and Lü J H 2009 Automatica 45 429
[18] Zou Y L and Chen G R 2009 Chin. Phys. B 18 3337
[19] Podlubny I 1999 Fractional Differential Equations (San Diego: Academic Press) p. 41
[20] Matignon D 1996 Proceedings of the IEEE-SMC International Association for Mathematics and Computers in Simulation, Lille, France, p. 963
[21] Hu J B, Han Y and Zhao L D 2009 Acta Phys. Sin. 58 2235 (in Chinese)
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