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In this paper, we study a class of weighted complex networks with multi-links and nonlinear coupling. Based on a method of network split, network synchronization criteria are deduced by using Lyapunov stability theory. Numerical simulation verify the validity of the conclusions.
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Keywords:
- nonlinear coupling /
- network split /
- delayed /
- synchronization
[1] ［1］Wu C W 2005 IEEE Trans. Circuits Syst. II 52 282
[2] ［2］Zhou C S, Motter A E, Kurths J 2006 Phys. Rev. Lett. 96 034101
[3] ［3］Cao J D, Li P, Wang W W 2006 Phys. Lett. A 353 318
[4] ［4］Zou Y L, Zhu J, Chen G R 2006 Phys. Rev. E 74 046107
[5] ［5］Wang W W, Cao J D 2006 Physica A 366 197
[6] ［6］Wang X G, Lai Y C, Lai C H 2007 Phys. Rev. E 75 056205
[7] ［7］Hua C C, Wang Q G, Guan X P 2007 Phys. Lett. A 368 281
[8] ［8］Luo Q, Wu W, Li L X, Yang Y X, Peng H P 2008 Acta Phys. Sin. 57 1529 （in Chinese） ［罗群、吴薇、李丽香、杨义先、彭海朋 2008 57 1529］
[9] ［9］Gao Y, Li L X, Peng H P, Yang Y X , Zhang X H 2008 Acta Phys. Sin. 57 2081（in Chinese） ［高洋、李丽香、彭海朋、杨义先、张小红 2008 57 2081］
[10] ］He G M, Yang J Y 2008 Chaos Soliton. Fract. 38 1254
[11] ］Wang Q Y, Duan Z S, Chen G R, Feng Z S 2008 Physica A 387 5616
[12] ］Cai S M, Zhou J, Xiang L, Liu Z R 2008 Phys. Lett. A 372 4990
[13] ］Sorrentino F, Ott E 2008 Phys. Rev. Lett. 100 114101
[14] ］Yu W W, Cao J D, Lü J H 2008 SIAM J. Appl. Dyn. Syst. 7 108
[15] ］Shang Y, Chen M Y, Kurths J 2009 Phys. Rev. E 80 027201
[16] ］Zhang Z, Fu Z Q,Yan G 2009 Chin. Phys. B 18 2209
[17] ］Liu T, Zhao J, Hill D J 2009 Chaos Soliton. Fract. 40 1506
[18] ］Hao B B, Yu H, Jing Y W, Zhang S Y 2009 Physica A 388 1939
[19] ］Lü L, Zhang C, 2009 Acta Phys. Sin. 58 1462 （in Chinese） ［吕翎、张超 2009 58 1462］
[20] ］Wei D Q, Luo X S, Qin Y H 2009 Chin. Phys. B 18 2184
[21] ］Chen G R, Zhou J, Liu Z R 2004 Int. J. Bifur. Chaos 14 2229
[22] ］Li P, Cao J D, Wang Z D 2007 Physica A 373 261
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[1] ［1］Wu C W 2005 IEEE Trans. Circuits Syst. II 52 282
[2] ［2］Zhou C S, Motter A E, Kurths J 2006 Phys. Rev. Lett. 96 034101
[3] ［3］Cao J D, Li P, Wang W W 2006 Phys. Lett. A 353 318
[4] ［4］Zou Y L, Zhu J, Chen G R 2006 Phys. Rev. E 74 046107
[5] ［5］Wang W W, Cao J D 2006 Physica A 366 197
[6] ［6］Wang X G, Lai Y C, Lai C H 2007 Phys. Rev. E 75 056205
[7] ［7］Hua C C, Wang Q G, Guan X P 2007 Phys. Lett. A 368 281
[8] ［8］Luo Q, Wu W, Li L X, Yang Y X, Peng H P 2008 Acta Phys. Sin. 57 1529 （in Chinese） ［罗群、吴薇、李丽香、杨义先、彭海朋 2008 57 1529］
[9] ［9］Gao Y, Li L X, Peng H P, Yang Y X , Zhang X H 2008 Acta Phys. Sin. 57 2081（in Chinese） ［高洋、李丽香、彭海朋、杨义先、张小红 2008 57 2081］
[10] ］He G M, Yang J Y 2008 Chaos Soliton. Fract. 38 1254
[11] ］Wang Q Y, Duan Z S, Chen G R, Feng Z S 2008 Physica A 387 5616
[12] ］Cai S M, Zhou J, Xiang L, Liu Z R 2008 Phys. Lett. A 372 4990
[13] ］Sorrentino F, Ott E 2008 Phys. Rev. Lett. 100 114101
[14] ］Yu W W, Cao J D, Lü J H 2008 SIAM J. Appl. Dyn. Syst. 7 108
[15] ］Shang Y, Chen M Y, Kurths J 2009 Phys. Rev. E 80 027201
[16] ］Zhang Z, Fu Z Q,Yan G 2009 Chin. Phys. B 18 2209
[17] ］Liu T, Zhao J, Hill D J 2009 Chaos Soliton. Fract. 40 1506
[18] ］Hao B B, Yu H, Jing Y W, Zhang S Y 2009 Physica A 388 1939
[19] ］Lü L, Zhang C, 2009 Acta Phys. Sin. 58 1462 （in Chinese） ［吕翎、张超 2009 58 1462］
[20] ］Wei D Q, Luo X S, Qin Y H 2009 Chin. Phys. B 18 2184
[21] ］Chen G R, Zhou J, Liu Z R 2004 Int. J. Bifur. Chaos 14 2229
[22] ］Li P, Cao J D, Wang Z D 2007 Physica A 373 261
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