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加权方式对网络同步能力的影响

王丹 井元伟 郝彬彬

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加权方式对网络同步能力的影响

王丹, 井元伟, 郝彬彬

Effect of weighted scheme on synchronizability based on different network structures

Wang Dan, Jing Yuan-Wei, Hao Bin-Bin
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  • 针对真实网络中权值与端点度的相关特性,提出了一种与始点和终点的度 都相关的非对称加权方式.在不同的网络结构下研究加权方式对同步能力的影响. 研究发现网络异质性越强时,通过调节网络权值改变网络同步能力的效果越显著, 而网络越匀质时,调节权值的方式改变网络同步能力的效果越不明显. 仿真实验显示无论在小世界网络还是无标度网络中,网络都是在节点的输入强度为1处获得最优的同步能力.
    Motivated by the observations that the weight of a link in realistic networks is strongly correlated with the product of the corresponding degrees, we present an asymmetrical weighted scheme relating to the degrees of starting point and terminal point, and investigate the effects of weighted scheme on synchronizability in light of different network structures. The results show that the more heterogeneous the degree distribution of network, the more remarkable the effect on enhanced synchronizability by the weighted method is. However, there is little effect on enhanced synchronizability by the weighted method for the homogeneous random network. It is shown that no matter whether small world networks or scale-free networks, the synchronizability is maximal when the total strength of all in-links of every node is equal to one.
    • 基金项目: 国家自然科学基金青年科学基金(批准号: 61104029)资助的课题.
    • Funds: Project support by the Young Scientists Fund of the National Natural Science Foundation of China (Grant No. 61104029).
    [1]

    Boccaletti S, Latora V, Moreno Y, Chavez M, Hwang D U 2006 Phys. Rep. 424 175

    [2]

    Zhao M, Wang B B, Jiang P Q, Zhou T 2005 Prog. in Phys. 25 273 (in Chinese) [赵明, 汪秉宏, 蒋品群, 周涛 2005 物理学进展 25 273]

    [3]

    Zhao M, Zhou T, Chen G R, Wang B B 2008 Prog. in Phys. 28 22 (in Chinese) [赵明, 周涛, 陈关荣, 汪秉宏 2008 物理学进展 28 22]

    [4]

    Metz F L, Neri I, Bollé D 2011 Phys. Rev. E 84 055101

    [5]

    Lü L, Li G, Cai Y 2008 Acta Phys.Sin. 57 7517(in Chinese) [吕翎, 李钢, 柴元 2008 物理学报 57 7517]

    [6]

    Yang X K, Cai L, Zhao X H, Feng Z W 2010 Acta Phys.Sin. 59 3740 (in Chinese) [杨晓阔, 蔡理, 赵晓辉, 冯朝文 2010 物理学报 59 3740]

    [7]

    Cai M, Du H F, Ren Y K, Marcus W F 2011 Acta Phys.Sin. 60 110513 (in Chinese) [蔡萌, 杜海峰, 任义科, 费尔德曼 2011 物理学报 60 110513]

    [8]

    Gao J X, Havlin S, Xu X M, Eugene Stanley H 2011 Phys. Rev. E 84 046115

    [9]

    Yuan W J, Zhou C S 2011 Phys. Rev. E 84 016116

    [10]

    Zeng A, Son S W, Yeung C H, Fan Y, Di Z 2011 Phys. Rev. E 83 045101

    [11]

    Chavez M, Hwang D U, Amann A 2005 Phys. Rev. Lett. 94 218701

    [12]

    Zhao M, Zhou T, Wang B H 2006 Eur. Phys. J. B 53 375

    [13]

    Watanabe T, Masuda N 2010 Phys. Rev. E 82 046102

    [14]

    Gorochowski T E, Bernardo M D, Grierson C S 2010 Phys. Rev. E 81 056212

    [15]

    Zhu J F, Zhao M, Yu W W, Zhou C S, Wang B H 2010 Phys. Rev. E 81 026201

    [16]

    Motter A E, Zhou C, Kurths J 2005 Phys. Rev. E 71 016116

    [17]

    Motter A E, Zhou C, Kurths 2006 American Institute of Physics Conference Series 776 201

    [18]

    Lu Y F, Zhao M, Zhou T, Wang B H 2007 Phys. Rev. E 76 057103

    [19]

    Hwang D U, Chavez M, Amann A 2005 Phys. Rev. Lett. 94 138701

    [20]

    Zou Y L, Zhu J, Chen G R 2006 Phys. Rev. E 74 046107

    [21]

    Newman M E J, Watts D J 1999 Phys. Lett. A 263 341

    [22]

    Barabási A L, Albert R 1999 Science 286 509

    [23]

    Jesús G G, Moreno Y 2006 Phys. Rev. E 73 056124

  • [1]

    Boccaletti S, Latora V, Moreno Y, Chavez M, Hwang D U 2006 Phys. Rep. 424 175

    [2]

    Zhao M, Wang B B, Jiang P Q, Zhou T 2005 Prog. in Phys. 25 273 (in Chinese) [赵明, 汪秉宏, 蒋品群, 周涛 2005 物理学进展 25 273]

    [3]

    Zhao M, Zhou T, Chen G R, Wang B B 2008 Prog. in Phys. 28 22 (in Chinese) [赵明, 周涛, 陈关荣, 汪秉宏 2008 物理学进展 28 22]

    [4]

    Metz F L, Neri I, Bollé D 2011 Phys. Rev. E 84 055101

    [5]

    Lü L, Li G, Cai Y 2008 Acta Phys.Sin. 57 7517(in Chinese) [吕翎, 李钢, 柴元 2008 物理学报 57 7517]

    [6]

    Yang X K, Cai L, Zhao X H, Feng Z W 2010 Acta Phys.Sin. 59 3740 (in Chinese) [杨晓阔, 蔡理, 赵晓辉, 冯朝文 2010 物理学报 59 3740]

    [7]

    Cai M, Du H F, Ren Y K, Marcus W F 2011 Acta Phys.Sin. 60 110513 (in Chinese) [蔡萌, 杜海峰, 任义科, 费尔德曼 2011 物理学报 60 110513]

    [8]

    Gao J X, Havlin S, Xu X M, Eugene Stanley H 2011 Phys. Rev. E 84 046115

    [9]

    Yuan W J, Zhou C S 2011 Phys. Rev. E 84 016116

    [10]

    Zeng A, Son S W, Yeung C H, Fan Y, Di Z 2011 Phys. Rev. E 83 045101

    [11]

    Chavez M, Hwang D U, Amann A 2005 Phys. Rev. Lett. 94 218701

    [12]

    Zhao M, Zhou T, Wang B H 2006 Eur. Phys. J. B 53 375

    [13]

    Watanabe T, Masuda N 2010 Phys. Rev. E 82 046102

    [14]

    Gorochowski T E, Bernardo M D, Grierson C S 2010 Phys. Rev. E 81 056212

    [15]

    Zhu J F, Zhao M, Yu W W, Zhou C S, Wang B H 2010 Phys. Rev. E 81 026201

    [16]

    Motter A E, Zhou C, Kurths J 2005 Phys. Rev. E 71 016116

    [17]

    Motter A E, Zhou C, Kurths 2006 American Institute of Physics Conference Series 776 201

    [18]

    Lu Y F, Zhao M, Zhou T, Wang B H 2007 Phys. Rev. E 76 057103

    [19]

    Hwang D U, Chavez M, Amann A 2005 Phys. Rev. Lett. 94 138701

    [20]

    Zou Y L, Zhu J, Chen G R 2006 Phys. Rev. E 74 046107

    [21]

    Newman M E J, Watts D J 1999 Phys. Lett. A 263 341

    [22]

    Barabási A L, Albert R 1999 Science 286 509

    [23]

    Jesús G G, Moreno Y 2006 Phys. Rev. E 73 056124

计量
  • 文章访问数:  5932
  • PDF下载量:  582
  • 被引次数: 0
出版历程
  • 收稿日期:  2011-11-30
  • 修回日期:  2012-02-27
  • 刊出日期:  2012-09-05

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