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Impulsive synchronization of a nonlinear coupled complex network with a delay node |
Sun Wen (孙文)a)†, Chen Zhong(陈忠) a), and Kang Yu-Hong(康玉红)b) |
a School of Information and Mathematics, Yangtze University, Jingzhou 434023, China; b School of Foreign Studies, Yangtze University, Jingzhou 434023, China |
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Abstract We investigate the impulsive synchronization of a nonlinear coupled complex network with a delay node. Both delay coupling and non-delay coupling, as well as the symmetrical coupling matrix and the asymmetrical coupling matrix are considered. Based on the comparison theorem of an impulsive differential system, some novel synchronization criteria are derived. Finally, numerical simulations demonstrate the effectiveness of the proposed synchronization criteria.
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Received: 31 May 2011
Revised: 24 July 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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Fund: Project supported by the Young Project of Hubei Provincial Department of Education, China (Grant No. Q20111309) and the Key Program of Hubei Provincial Department of Education, China (Grant No. D20101304). |
Cite this article:
Sun Wen (孙文), Chen Zhong(陈忠), and Kang Yu-Hong(康玉红) Impulsive synchronization of a nonlinear coupled complex network with a delay node 2012 Chin. Phys. B 21 010504
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[1] |
Strogatz S H 2001 Nature 410 268
|
[2] |
Albert R and Barabási A L 2002 Rev. Modern Phys. 74 47
|
[3] |
Pecora L M and Carroll T L 1998 Phys. Rev. Lett. 9 2109
|
[4] |
Wang X F and Chen G 2002 Int. J. Bifur. Chaos 12 187
|
[5] |
Li C and Chen G 2004 Physica A 343 263 6 Chen T, Liu X W and Lu W L 2007 IEEE Trans. Circ. Syst. I 54 1317 7 Wu C W and Chua L O 1995 IEEE Trans. Circ. Syst. I 42 430
|
[8] |
Lü L, Meng L, Guo L, Zou J and Yang M 2011 Acta Phys. Sin. 60 124 (in Chinese)
|
[9] |
Lu W, Chen T and Chen G 2006 Physica D 221 118
|
[10] |
Liu X W and Chen T P 2008 Physica A 387 4429
|
[11] |
Liu X W and Chen T P 2007 Physica A 381 82
|
[12] |
Guo W L, Francis Austin and Chen S H 2010 Commun. Nonlinear Sci. Numer. Simulat. 15 1631
|
[13] |
Liu T, Zhao J and David J H 2009 Chaos Soliton. Fract. 40 1506
|
[14] |
Dhamala M, Jirsa V K and Ding M 2004 Phys. Rev. Lett. 92 074104
|
[15] |
Gao H J, Lam J and Chen G 2006 Phys. Lett. A 360 263
|
[16] |
Li C, Liao X and Wong K 2004 Physica D 194 187
|
[17] |
Mensour B and Longtin A 1998 Phys. Lett. A 244 59
|
[18] |
Pyragas K 1998 Phys. Rev. E 58 3067
|
[19] |
Zhang Q J, Lu J A, Lü J H and Tse C K 2008 IEEE Trans. Circuits. Syst. II 55 183
|
[20] |
Zhou J, Xiang L and Liu Z 2007 Physica A 384 684
|
[21] |
Cai S, Zhou J, Xiang L and Liu Z 2008 Phys. Lett. A 372 4990
|
[22] |
Zheng S, Dong G and Bi Q S 2009 Phys. Lett. A 373 4255
|
[23] |
Sun J T, Zhang Y P, Wang L and Wu Q D 2002 Phys. Lett. A 304 130
|
[24] |
Yang T and Chua L O 1997 IEEE Trans. Circuits Syst. I 44 976
|
[25] |
Lu J Q, Daniel W C Ho and Cao J D 2010 Automatica 46 1215
|
[26] |
Wu B, Liu Y and Lu J Q 2011 Chin. Phys. B 20 050508
|
[27] |
Wang X, Zhang Y, Lin D and Zhang N 2011 Chin. Phys. B 20 030506
|
[28] |
Guan Z H, Liu Z W, Feng G and Wang Y W 2010 IEEE Trans. Circ. Syst. I 57 2182
|
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