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Anti-synchronization of complex network is investigated in which nodes are discrete spatiotemporal chaos systems with diverse structures. The form of the coupling functions connecting nodes in the complex network and the control gain are obtained through constructing an appropriate Lyapunov function. The spatially extended system of laser phase conjugate wave having spatiotemporal chaos behavior in physics, Gibbs electrical-optical spatiotemporal chaos model, Bragg acousto-optical spatiotemporal chaos model and the one-dimensional discrete convective equation are all taken as nodes of the complex network. Artificial results show that a stable anti-synchronization is obtained in the whole network.
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Keywords:
- anti-synchronization /
- complex network /
- diverse structure /
- spatiotemporal chaos
[1] Pecora L M, Carroll T L 1998 Phys. Rev. Lett. 80 2109
[2] Timme M, Wolf F, Geisel T 2004 Phys. Rev. Lett. 92 74101
[3] Motter A E, Zhou C, Kurths, J 2005 Phys. Rev. E 71 16116
[4] He G M, Yang J Y 2008 Chaos, Solitons and Fractals 38 1254
[5] Li D, Leyva I, Almendral J A, Sendiña-Nadal I, Buldú J M, Havlin S, Boccaletti S 2008 Phys. Rev. Lett. 101 168701
[6] Checco P, Biey M, Kocarev L 2008 Chaos, Solitons and Fractals 35 562
[7] Pisarchik A N, Jaimes-Reátegui R, Sevilla-Escoboza R, Boccaletti S 2009 Phys. Rev. E 79 55202
[8] Chen L, Qiu C, Huang H B 2009 Phys. Rev. E 79 45101
[9] Pisarchik A N, Jaimes-Reátegui R, Sevilla-Escoboza R, Boccaletti S 2009 Phys. Rev. E 79 55202
[10] Agnes E J, Erichsen Jr R, Brunnet L G 2010 Physica A 389 651
[11] Gade P M, Hu C K 2000 Phys. Rev. E 62 6409
[12] Wang X F, Chen G R 2002 IEEE Trans. Circuit Syst. I 49 54
[13] Earl M G, Strogatz S H 2003 Phys. Rev. E 67 036204
[14] Lü J H, Yu X H, Chen G R 2004 Physica A 334 281
[15] Donetti L, Hurtado P I, Muñoz M A 2005 Phys. Rev. Lett. 95 188701
[16] Ji D H, Park J H, Yoo W J, Won S C, Lee S M 2010 Phys. Lett. A 374 1218
[17] Li K, Lai C H 2008 Phys. Lett. A 372 1601
[18] Lu J, Zhang R, Xu Z Y 2010 Acta Phys. Sin. 59 5949 (in Chinese) [卢静, 张荣, 徐振源 2010 59 5949]
[19] Zeng C Y, Sun M, Tian L X 2010 Acta Phys. Sin. 59 5288 (in Chinese) [曾长燕, 孙梅, 田立新 2010 59 5288]
[20] Lü L 2000 Nonlinear dynamics and chaos (Dalian: Dalian publishing house) (in Chinese) [吕翎 2000 非线性动力学与混沌 (大连:大连出版社)]
[21] Beli?M R, Stojkov P 1990 Opt. Quantum. Electron 22 157
[22] Kaneko K 1985 Phys. Lett. A 111 321
[23] Gibbs H M, Hopf F A, Kaplan D L, Shoemaker R L 1981 Phys. Rev. Lett. 46 474
[24] Vallee R, Delisle C, Chrostowski J 1984 Phys. Rev. A 30 336
[25] Chen G R, Liu S T 2003 J. Bifur. Chaos 13 935
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[1] Pecora L M, Carroll T L 1998 Phys. Rev. Lett. 80 2109
[2] Timme M, Wolf F, Geisel T 2004 Phys. Rev. Lett. 92 74101
[3] Motter A E, Zhou C, Kurths, J 2005 Phys. Rev. E 71 16116
[4] He G M, Yang J Y 2008 Chaos, Solitons and Fractals 38 1254
[5] Li D, Leyva I, Almendral J A, Sendiña-Nadal I, Buldú J M, Havlin S, Boccaletti S 2008 Phys. Rev. Lett. 101 168701
[6] Checco P, Biey M, Kocarev L 2008 Chaos, Solitons and Fractals 35 562
[7] Pisarchik A N, Jaimes-Reátegui R, Sevilla-Escoboza R, Boccaletti S 2009 Phys. Rev. E 79 55202
[8] Chen L, Qiu C, Huang H B 2009 Phys. Rev. E 79 45101
[9] Pisarchik A N, Jaimes-Reátegui R, Sevilla-Escoboza R, Boccaletti S 2009 Phys. Rev. E 79 55202
[10] Agnes E J, Erichsen Jr R, Brunnet L G 2010 Physica A 389 651
[11] Gade P M, Hu C K 2000 Phys. Rev. E 62 6409
[12] Wang X F, Chen G R 2002 IEEE Trans. Circuit Syst. I 49 54
[13] Earl M G, Strogatz S H 2003 Phys. Rev. E 67 036204
[14] Lü J H, Yu X H, Chen G R 2004 Physica A 334 281
[15] Donetti L, Hurtado P I, Muñoz M A 2005 Phys. Rev. Lett. 95 188701
[16] Ji D H, Park J H, Yoo W J, Won S C, Lee S M 2010 Phys. Lett. A 374 1218
[17] Li K, Lai C H 2008 Phys. Lett. A 372 1601
[18] Lu J, Zhang R, Xu Z Y 2010 Acta Phys. Sin. 59 5949 (in Chinese) [卢静, 张荣, 徐振源 2010 59 5949]
[19] Zeng C Y, Sun M, Tian L X 2010 Acta Phys. Sin. 59 5288 (in Chinese) [曾长燕, 孙梅, 田立新 2010 59 5288]
[20] Lü L 2000 Nonlinear dynamics and chaos (Dalian: Dalian publishing house) (in Chinese) [吕翎 2000 非线性动力学与混沌 (大连:大连出版社)]
[21] Beli?M R, Stojkov P 1990 Opt. Quantum. Electron 22 157
[22] Kaneko K 1985 Phys. Lett. A 111 321
[23] Gibbs H M, Hopf F A, Kaplan D L, Shoemaker R L 1981 Phys. Rev. Lett. 46 474
[24] Vallee R, Delisle C, Chrostowski J 1984 Phys. Rev. A 30 336
[25] Chen G R, Liu S T 2003 J. Bifur. Chaos 13 935
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