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研究了移动Ad Hoc网络的动力学同步行为.用特征值比R来衡量网络的同步能力,特征值比R>越小,同步能力越强.结果表明最初该网络的特征值比R随聚类系数C的增加而增加,继续增大聚类系数,特征值比反而减小.特征值比随聚类系数并不是普遍的正比关系也不是反比关系,而是先增大后减小,明显存在一个极值.
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关键词:
- 移动Ad Hoc网络 /
- 同步 /
- 极值
The synchronizability of mobile Ad Hoc networks is investigated in this paper. The synchronizability is measured by eigenratio R. A smaller value of eigenratio R leads to a better synchronizability. The results indicate that with the increase of clustering coefficient C, eigenratio R increases in interval, but with the process going on, eigenratio R decreases. The eigenratio varies with clustering coefficient reither in direct proportion nor in inverse proportion, but rises first and reduces later,so there aooears a clear maximum value in between.-
Keywords:
- mobile Ad Hoc networks /
- synchronization /
- extremum value
[1] Nishikawa T, Motter A E, Lai Y C, Hoppensteadt F C 2003 Phys. Rev. Lett. 91 014101
[2] Motter A E, Zhou C, Kurths K 2005 Phys. Rev. E 71 016116
[3] Wu X, Wang B H, Zhou T, Wang W, Zhao M, Yang H 2006 Chin. Phys. Lett. 23 1046
[4] McGraw P N, Menzinger M 2005 Phys. Rev. E 72 015101
[5] Zhou T, Zhao M, Wang B H 2006 Phys. Rev. E 73 037101
[6] Zhao M, Zhou T, Wang B H, Yan G, Yang H J, Bai W J 2006 Physica A 371 773
[7] di Bernardo M, Garofalo F, Sorrentino F 2007 Int. J. Bifur. Chaos 17 2419
[8] 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]
[9] Luo X S, Wu L, Zheng H Y 2008 Acta Phys. Sin. 57 3380 (in Chinese) [罗晓曙、 吴 雷、 郑鸿宇 2008 物理学报 57 3380]
[10] Luo X S, Zhou X R 2008 Acta Phys. Sin. 57 2849 (in Chinese) [罗晓曙、 周小荣 2008 物理学报 57 2849]
[11] He Y, Zhang P P, Xu T, Jiang Y M, He D R 2004 Acta Phys. Sin. 53 1710 (in Chinese) [何 阅、 张培培、 许 田、 姜玉梅、 何大韧 2004 物理学报 53 1710]
[12] Gao L F, Guan S, Shi J J 2010 Chin. Phys. B 19 010512
[13] Shen Y, Wang G X 2010 Acta Phys. Sin. 59 842 (in Chinese) [沈 轶、 王高峡 2010 物理学报 59 842]
[14] Cui D, Gao Z Y, Zheng J F 2009 Chin. Phys. B 18 992
[15] Wang M S, Yan X Y 2010 Acta Phys. Sin. 59 851 (in Chinese) [王明生、 闫小勇 2010 物理学报 59 851]
[16] Han D D, Qian J H 2009 Acta Phys. Sin. 58 3028 (in Chinese) [韩定定、 钱江海 2009 物理学报 58 3028]
[17] Wang L, Zhu C P, Gu Z M, Xiong S J, He D R, Wang B H arXiv: 0806.2351v1
[18] Pecora L M, Barahona M 2005 Chaos Compl. Lett. 1 61
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[1] Nishikawa T, Motter A E, Lai Y C, Hoppensteadt F C 2003 Phys. Rev. Lett. 91 014101
[2] Motter A E, Zhou C, Kurths K 2005 Phys. Rev. E 71 016116
[3] Wu X, Wang B H, Zhou T, Wang W, Zhao M, Yang H 2006 Chin. Phys. Lett. 23 1046
[4] McGraw P N, Menzinger M 2005 Phys. Rev. E 72 015101
[5] Zhou T, Zhao M, Wang B H 2006 Phys. Rev. E 73 037101
[6] Zhao M, Zhou T, Wang B H, Yan G, Yang H J, Bai W J 2006 Physica A 371 773
[7] di Bernardo M, Garofalo F, Sorrentino F 2007 Int. J. Bifur. Chaos 17 2419
[8] 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]
[9] Luo X S, Wu L, Zheng H Y 2008 Acta Phys. Sin. 57 3380 (in Chinese) [罗晓曙、 吴 雷、 郑鸿宇 2008 物理学报 57 3380]
[10] Luo X S, Zhou X R 2008 Acta Phys. Sin. 57 2849 (in Chinese) [罗晓曙、 周小荣 2008 物理学报 57 2849]
[11] He Y, Zhang P P, Xu T, Jiang Y M, He D R 2004 Acta Phys. Sin. 53 1710 (in Chinese) [何 阅、 张培培、 许 田、 姜玉梅、 何大韧 2004 物理学报 53 1710]
[12] Gao L F, Guan S, Shi J J 2010 Chin. Phys. B 19 010512
[13] Shen Y, Wang G X 2010 Acta Phys. Sin. 59 842 (in Chinese) [沈 轶、 王高峡 2010 物理学报 59 842]
[14] Cui D, Gao Z Y, Zheng J F 2009 Chin. Phys. B 18 992
[15] Wang M S, Yan X Y 2010 Acta Phys. Sin. 59 851 (in Chinese) [王明生、 闫小勇 2010 物理学报 59 851]
[16] Han D D, Qian J H 2009 Acta Phys. Sin. 58 3028 (in Chinese) [韩定定、 钱江海 2009 物理学报 58 3028]
[17] Wang L, Zhu C P, Gu Z M, Xiong S J, He D R, Wang B H arXiv: 0806.2351v1
[18] Pecora L M, Barahona M 2005 Chaos Compl. Lett. 1 61
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