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Impulsive synchronization of two coupled complex networks with time-delayed dynamical nodes |
Wang Shu-Guo(王树国)a)b)† and Yao Hong-Xing(姚洪兴)a) |
a Faculty of Science, Jiangsu University, Zhenjiang 212013, China; b Department of Mathematics and Physics, Changzhou Campus, Hohai University, Changzhou 213022, China |
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Abstract In this paper, we investigate the impulsive synchronization between two coupled complex networks with time-delayed dynamical nodes. Based on the Lyapunov stability, the linear feedback control and the impulsive control theories, the linear feedback and the impulsive controllers are designed separately. By using the generalized Barbalat's lemma, the global asymptotic impulsive synchronization of the drive—response complex networks is derived and some corresponding sufficient conditions are also obtained. Numerical examples are presented to verify the effectiveness and the correctness of the synchronization criteria.
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Received: 22 February 2011
Revised: 11 May 2011
Accepted manuscript online:
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PACS:
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05.45.Xt
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(Synchronization; coupled oscillators)
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05.45.Gg
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(Control of chaos, applications of chaos)
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Cite this article:
Wang Shu-Guo(王树国) and Yao Hong-Xing(姚洪兴) Impulsive synchronization of two coupled complex networks with time-delayed dynamical nodes 2011 Chin. Phys. B 20 090513
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[1] |
Watts D J and Strogatz S H 1998 Nature 393 440
|
[2] |
Barbaasi A L and Albert R 1999 Science 286 509
|
[3] |
Strogatz S H 2001 Nature 410 268
|
[4] |
Newman M 2003 SIAM Rev. 45 167
|
[5] |
Li X and Chen G 2003 IEEE Trans Circ. Syst. I 50 1381
|
[6] |
Bian Q X and Yao H X 2010 Acta Phys. Sin. 59 3027 (in Chinese)
|
[7] |
Liu H, Song Y R, Fan C X and Jiang G P 2010 Chin. Phys. B 19 070508
|
[8] |
Wang X and Chen G 2002 Phys. A 310 521
|
[9] |
Li X, Wang X and Chen G 2004 IEEE Trans. Cir. Syst. I 51 2074
|
[10] |
Chen T, Liu X and Lu W 2007 IEEE Trans. Cir. Syst. I 54 1317
|
[11] |
Zhou J, Lu J and Lü J 2008 Automatica 44 996
|
[12] |
de Lellis P, Bernardo M and Garofalo F 2008 Chaos 18 037110
|
[13] |
Wen S, Chen S and Guo W 2008 Phys. Lett. A 372 6340
|
[14] |
Zheng S, Dong G and Bi Q 2009 Phys. Lett. A 373 1553
|
[15] |
Zhou J, Xiang L and Liu Z 2007 Phys. A 384 684
|
[16] |
Zhang G, Liu Z and Ma Z 2007 Chaos 17 043126
|
[17] |
Li P, Cao J and Wang Z 2007 Phys. A 373 261
|
[18] |
Song Q, Cao J and Liu F 2010 Phys. Lett. A 374 544
|
[19] |
Jiang H and Bi Q 2010 Phys. Lett. A 374 2723
|
[20] |
Yang L B and Yang T 2000 Acta Phys. Sin. 49 33 (in Chinese)
|
[21] |
Chen J F, Zhang R Y and Peng J H 2003 Acta Phys. Sin. 52 1589 (in Chinese)
|
[22] |
Ma T D, Zhang H G and Wang Z L 2007 Acta Phys. Sin. 56 3796 (in Chinese)
|
[23] |
Guo L X , Hu M F and Xu Z Y 2010 Chin. Phys. B 19 020512
|
[24] |
Niu Y J, Xu W, Rong H W, Wang L and Feng J Q 2009 Acta Phys. Sin. 58 2983 (in Chinese)
|
[25] |
Tang Y, Leung S Y S, Wong W K and Fang J 2010 Neurocomputing 73 2132
|
[26] |
Zhang L P, Jiang H B and Bi Q S 2010 Chin. Phys. B 19 010507
|
[27] |
Li C P, Sun W G and Kurths J 2007 Phys. Rev. E 76 046204
|
[28] |
Tang H W, Chen L, Lu J A and Tse C K 2008 Phys. A 387 5623
|
[29] |
Li Y, Liu Z R and Zhang J B 2008 Chin. Phys. Lett. 25 874
|
[30] |
Li C P, Sun W G and Kurths J 2009 Chaos 19 013106
|
[31] |
Wu X, Zheng W and Zhou J 2009 Chaos 19 013109
|
[32] |
Zheng S, Dong G and Bi Q 2009 Phys. Lett. A 373 4255
|
[33] |
Mensour B and Longtin A 1998 Phys. Lett. A 244 59
|
[34] |
Li C, Liao X and Wong K 2004 Phys. D 194 187
|
[35] |
Zhang T 2003 Int. J. Syst. Sci. 34 375
|
[36] |
Cai G, Zheng S and Tian L 2008 Chin. Phys. B 17 2412
|
[37] |
Zhang L, Jiang H and Bi Q 2008 J. Dynamics Control 6 312
|
[38] |
Huang L, Wang Z, Wang Y and Zuo Y 2009 Phys. Lett. A 373 3952
|
[39] |
Huijberts H, Nijmeijer H and Oguchi T 2007 Chaos 17 013117
|
[40] |
Cai S, He Q, Hao J and Liu Z 2010 Phys. Lett. A 374 2539
|
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