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Weighted networks can give the detailed description of interaction between the agents of complex systems, so weighted networks is more resemble real-networks than unweighted networks. It is a new way to improve the properties of complex networks by adjusting the weight distribution. Based on the synchronization of unweighted complex networks, the synchronizability of weighted generalized local-world networks can be measured by eigenratio R. We find that weight distribution has an important effect on the synchronization of weighted generalized local-world networks. The uniform weight distribution will lead to better synchronizability.
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Keywords:
- weight distribution /
- generalized local-world /
- weighted networks /
- synchronization
[1] Albert R, Barabási A L 2002 Rev. Mod. Phys. 74 47
[2] Newman M E J 2003 SIAM Rev. 45 167
[3] Watts D J, Strogatz S H 1998 Nature 393 440
[4] Milgram S 1967 Psychol. Today 1 61
[5] Barabási A L, Albert R 1999 Science 286 509
[6] Barabási A L, Albert R, Jeong H 1999 Physica A 272 173
[7] Tadić B, Thurner S, Rodgers G J 2004 Phys. Rev. E 69 036102
[8] Zhao L, Lai Y C, Park K, Ye N 2005 Phys. Rev. E 71 026125
[9] Yan G, Zhou T, Hu B, Fu Z Q, Wang B H 2006 Phys. Rev. E 73 046108
[10] Pastor-Satorras R, Vespignani A 2001 Phys. Rev. Lett. 86 3200
[11] Nishikawa T, Motter A E, Lai Y C, Hoppensteadt F C 2003 Phys. Rev. Lett. 91 014101
[12] Motter A E, Zhou C S, Kurths J 2005 Phys. Rev. E 71 016116
[13] Wu X, Wang B H, Zhou T, Wang W X, Zhao M, Yang H J 2006 Chin. Phys. Lett. 23 1046
[14] McGraw P N, Menzinger M 2005 Phys. Rev. E 72 015101
[15] Zhou T, Zhao M, Wang B H 2006 Phys. Rev. E 73 037101
[16] Zhao M, Zhou T, Wang B H, Yan G, Yang H J, Bai W J 2006 Physica A 371 773
[17] Dai C L, Liu S E, Tian L, Shi D N 2008 Acta Phys. Sin. 57 4800 (in Chinese) [戴存礼, 刘曙娥, 田亮, 施大宁 2008 物理学报 57 4800]
[18] Dai C L, Zhao Y Y, Wu W, Zeng L W 2010 Acta Phys. Sin. 59 7719 (in Chinese) [戴存礼, 赵艳艳, 吴威, 曾伦武 2010 物理学报 59 7719]
[19] Wen G H, Duan Z S, Chen G R, Geng X M 2011 Physica A 390 4012
[20] Wen G H, Duan Z S 2009 Int. J. Modern Phys. C 20 1719
[21] Pan Z F, Li X, Wang X F 2006 Phys. Rev. E 73 056109
[22] Tian L, Di Z R, Yao H 2011 Acta Phys. Sin. 60 028901 (in Chinese) [田柳, 狄增如, 姚虹 2011 物理学报 60 028901]
[23] Wang D, Jing Y W, Hao B B 2012 Acta Phys. Sin. 61 170513 (in Chinese) [王丹, 井元伟, 郝彬彬2012 物理学报 61 170513]
[24] Zhang C, Shen H Z, Yang H Q, Li F 2012 Acta Phys. Sin. 61 148902 (in Chinese)[张聪, 沈惠璋, 杨何群, 李峰2012 物理学报 61 148902]
[25] Liu S, Lü X, Li G 2012 Acta Phys. Sin. 61 160507 (in Chinese) [柳爽, 吕翎, 李钢 2012物理学报 61 160507]
[26] Hao C Q, Wang J, Deng B, Wei X L 2012 Acta Phys. Sin. 61 148901 (in Chinese) [郝崇清, 王江, 邓斌, 魏熙乐 2012 物理学报 61 148901]
[27] Lü L, Shang J Y, Zhu J B, Shen N, Liu S, Zhang Xin 2012 Acta Phys. Sin. 61 140504 (in Chinese) [吕翎, 商锦玉, 朱佳博, 沈娜, 柳爽, 张新 2012 物理学报 61 140504]
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[1] Albert R, Barabási A L 2002 Rev. Mod. Phys. 74 47
[2] Newman M E J 2003 SIAM Rev. 45 167
[3] Watts D J, Strogatz S H 1998 Nature 393 440
[4] Milgram S 1967 Psychol. Today 1 61
[5] Barabási A L, Albert R 1999 Science 286 509
[6] Barabási A L, Albert R, Jeong H 1999 Physica A 272 173
[7] Tadić B, Thurner S, Rodgers G J 2004 Phys. Rev. E 69 036102
[8] Zhao L, Lai Y C, Park K, Ye N 2005 Phys. Rev. E 71 026125
[9] Yan G, Zhou T, Hu B, Fu Z Q, Wang B H 2006 Phys. Rev. E 73 046108
[10] Pastor-Satorras R, Vespignani A 2001 Phys. Rev. Lett. 86 3200
[11] Nishikawa T, Motter A E, Lai Y C, Hoppensteadt F C 2003 Phys. Rev. Lett. 91 014101
[12] Motter A E, Zhou C S, Kurths J 2005 Phys. Rev. E 71 016116
[13] Wu X, Wang B H, Zhou T, Wang W X, Zhao M, Yang H J 2006 Chin. Phys. Lett. 23 1046
[14] McGraw P N, Menzinger M 2005 Phys. Rev. E 72 015101
[15] Zhou T, Zhao M, Wang B H 2006 Phys. Rev. E 73 037101
[16] Zhao M, Zhou T, Wang B H, Yan G, Yang H J, Bai W J 2006 Physica A 371 773
[17] Dai C L, Liu S E, Tian L, Shi D N 2008 Acta Phys. Sin. 57 4800 (in Chinese) [戴存礼, 刘曙娥, 田亮, 施大宁 2008 物理学报 57 4800]
[18] Dai C L, Zhao Y Y, Wu W, Zeng L W 2010 Acta Phys. Sin. 59 7719 (in Chinese) [戴存礼, 赵艳艳, 吴威, 曾伦武 2010 物理学报 59 7719]
[19] Wen G H, Duan Z S, Chen G R, Geng X M 2011 Physica A 390 4012
[20] Wen G H, Duan Z S 2009 Int. J. Modern Phys. C 20 1719
[21] Pan Z F, Li X, Wang X F 2006 Phys. Rev. E 73 056109
[22] Tian L, Di Z R, Yao H 2011 Acta Phys. Sin. 60 028901 (in Chinese) [田柳, 狄增如, 姚虹 2011 物理学报 60 028901]
[23] Wang D, Jing Y W, Hao B B 2012 Acta Phys. Sin. 61 170513 (in Chinese) [王丹, 井元伟, 郝彬彬2012 物理学报 61 170513]
[24] Zhang C, Shen H Z, Yang H Q, Li F 2012 Acta Phys. Sin. 61 148902 (in Chinese)[张聪, 沈惠璋, 杨何群, 李峰2012 物理学报 61 148902]
[25] Liu S, Lü X, Li G 2012 Acta Phys. Sin. 61 160507 (in Chinese) [柳爽, 吕翎, 李钢 2012物理学报 61 160507]
[26] Hao C Q, Wang J, Deng B, Wei X L 2012 Acta Phys. Sin. 61 148901 (in Chinese) [郝崇清, 王江, 邓斌, 魏熙乐 2012 物理学报 61 148901]
[27] Lü L, Shang J Y, Zhu J B, Shen N, Liu S, Zhang Xin 2012 Acta Phys. Sin. 61 140504 (in Chinese) [吕翎, 商锦玉, 朱佳博, 沈娜, 柳爽, 张新 2012 物理学报 61 140504]
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