权重分布对加权局域世界网络动力学同步的影响

戴存礼; 吴威; 赵艳艳; 姚雪霞; 赵志刚

doi:10.7498/aps.62.108903

摘要

加权网络可以更细致地刻画复杂系统中两节点之间的相互作用, 所以加权网络也比无权网络更接近真实的复杂系统. 改变权重分布来调节和改善复杂网络的性质也成为一种新的研究方法. 基于现有无权网络同步的概念, 应用特征值比R来衡量加权局域世界网络的同步能力, 发现权重分布对加权局域世界网络的同步能力有很重要的影响, 权重分布越均匀, 网络的同步能力就越大.

关键词:

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.

Keywords:

作者及机构信息

1.
南京农业大学工学院, 南京 210031

基金项目: 国家自然科学基金(批准号: 11247218)、江苏省农机基金(批准考: Gxz10008)和南京农业大学人才启动基金(批准考: RCQD10-02)资助的课题.

Authors and contacts

1.
College of Engineering, Nanjing Agricultural University, Nanjing 210031, China

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).

参考文献

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[19]	Wen G H, Duan Z S, Chen G R, Geng X M 2011 Physica A 390 4012
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[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]

施引文献

[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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