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Effect of weight distribution on the synchronization of weighted generalized local-world networks

Dai Cun-Li Wu Wei Zhao Yan-Yan Yao Xue-Xia Zhao Zhi-Gang

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Effect of weight distribution on the synchronization of weighted generalized local-world networks

Dai Cun-Li, Wu Wei, Zhao Yan-Yan, Yao Xue-Xia, Zhao Zhi-Gang
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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.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11247218), the Agricultural Mechanical Fund of Jiangsu Province, China (Grant No. Gxz10008) and the Starting Research Project of Importing Talented Teachers in Nanjing Agricultural University, China (Grant No. RCQD10-02).
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    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

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    [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]

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    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

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    [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]

  • [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]

Metrics
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  • PDF Downloads:  494
  • Cited By: 0
Publishing process
  • Received Date:  17 July 2012
  • Accepted Date:  19 December 2012
  • Published Online:  05 May 2013

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