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A method is introduced to realize spatiotemporal chaos projective synchronization for a weighted network. The coupling function between connected nodes of the weighted network is derived and the range of the linear coefficient matrix of separated configuration in state equation of the node is obtained through constructing an appropriate Lyapunov function. Each node of the weight network is a laser spatiotemporal chaos model in which Bragg acousto-optical bistable system and unilateral coupled map lattices are taken as the local function and the spatial extended system, respectively. The projective synchronization effect of the weighted network is checked by numerical emulation. The results show that projective synchronization can be realized even if the coupling strength between the nodes are given arbitrary weight values.
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Keywords:
- projective synchronization /
- weighted network /
- spatiotemporal chaos /
- Bragg acousto-optical bistable system
[1] Watts D J, Strogatz S H 1998 Nature 393 440
[2] Barabási A L, Albert R 1999 Science 286 509
[3] Vázquez A, Pastor-Satorras R, Vespignani A 2002 Phys.Rev.E 65 66130
[4] Strogatz S H 2001 Nature 410 268
[5] Newman M E J, Strogatz S H, Watts D J 2001 Phys.Rev.E 64 26118
[6] Haken H 2005 Physica D 205 1
[7] Lü J H, Yu X H, Chen G R, Cheng D Z 2004 IEEE Trans.Circuits Syst.-I 51 787
[8] Lü L, Zhang C 2009 Acta Phys. Sin. 58 1462(in Chinese) [吕 翎、张 超2009 58 1462]
[9] Agnes E J,Erichsen Jr R,Brunnet L G 2010 Physica A 389 651
[10] Lü J H, Chen G R 2005 IEEE Trans.Auto.Contr. 50 841
[11] Zhou J, Lu J A, Lü J H 2006 IEEE Trans.Auto.Contr. 51 652
[12] Li K, Lai C H 2008 Phys. Lett.A 372 1601
[13] Jing X D, Lü L 2009 Acta Phys.Sin. 58 7539(in Chinese)[敬晓丹、吕 翎 2009 58 7539]
[14] Ma X J, Wang Y, Zheng Z G 2009 Acta Phys. Sin. 58 4426(in Chinese) [马晓娟、王 延、郑志刚2009 58 4426]
[15] Posadas-Castillo C, Cruz-Hernández C, López-Gutiérrez R M 2009 Chaos, Solitons and Fractals 40 1963
[16] Zhou C S, Motter A E, Kurths J 2006 Phys.Rev.Lett. 96 34101
[17] Motter A E, Zhou C S, Kurths J 2005 Europhys.Lett. 69 334
[18] Wang W X, Chen G R 2008 Phys.Rev.E 77 26201
[19] Vallee R, Delisle C, Chrostowski J 1984 Phys.Rev.A 30 336
[20] Kaneko K 1985 Phys.Lett.A 111 321
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[1] Watts D J, Strogatz S H 1998 Nature 393 440
[2] Barabási A L, Albert R 1999 Science 286 509
[3] Vázquez A, Pastor-Satorras R, Vespignani A 2002 Phys.Rev.E 65 66130
[4] Strogatz S H 2001 Nature 410 268
[5] Newman M E J, Strogatz S H, Watts D J 2001 Phys.Rev.E 64 26118
[6] Haken H 2005 Physica D 205 1
[7] Lü J H, Yu X H, Chen G R, Cheng D Z 2004 IEEE Trans.Circuits Syst.-I 51 787
[8] Lü L, Zhang C 2009 Acta Phys. Sin. 58 1462(in Chinese) [吕 翎、张 超2009 58 1462]
[9] Agnes E J,Erichsen Jr R,Brunnet L G 2010 Physica A 389 651
[10] Lü J H, Chen G R 2005 IEEE Trans.Auto.Contr. 50 841
[11] Zhou J, Lu J A, Lü J H 2006 IEEE Trans.Auto.Contr. 51 652
[12] Li K, Lai C H 2008 Phys. Lett.A 372 1601
[13] Jing X D, Lü L 2009 Acta Phys.Sin. 58 7539(in Chinese)[敬晓丹、吕 翎 2009 58 7539]
[14] Ma X J, Wang Y, Zheng Z G 2009 Acta Phys. Sin. 58 4426(in Chinese) [马晓娟、王 延、郑志刚2009 58 4426]
[15] Posadas-Castillo C, Cruz-Hernández C, López-Gutiérrez R M 2009 Chaos, Solitons and Fractals 40 1963
[16] Zhou C S, Motter A E, Kurths J 2006 Phys.Rev.Lett. 96 34101
[17] Motter A E, Zhou C S, Kurths J 2005 Europhys.Lett. 69 334
[18] Wang W X, Chen G R 2008 Phys.Rev.E 77 26201
[19] Vallee R, Delisle C, Chrostowski J 1984 Phys.Rev.A 30 336
[20] Kaneko K 1985 Phys.Lett.A 111 321
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