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In this paper, we present an adaptive method to improve the synchronization of complex networks. We summarize the effects of the average degree of network and the size of network on the synchronization. By this adaptive method, We obtain a power low relationship between the synchronous capacity and the size of network. At the same network size, this method can enhance the network synchronous capacity several orders of magnitude higher than that of unweighted network. When the network size is larger, it is more efficient to improve synchronous capacity.
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Keywords:
- mean field /
- network synchronization /
- eigenvalue /
- scale-free network
[1] Shao J, Havlin S, Stanley H E 2009 Phys. Rev. Lett. 103 018701
[2] Newman M E J, Strogatz S H, Watts D J 2001 Phys. Rev. E 64 026118
[3] Moreira A A, Andrade J S, Herrmann H J, Indekeu J O 2009 Phys. Rev. Lett. 102 018701
[4] Hooyberghs H, VanSchaeybroeck B, Moreira A A, Andrade J S, Herrmann H J 2010 Phys. Rev. E 81 011102
[5] Zhou T, Wang B H 2005 Chin. Phys. Lett. 22 1072
[6] Li R H, Chen W S, Li S 2010 Chin. Phys. B 19 010508
[7] Sergey V, Buldyrev, Parshani R, Paul G, Stanley H E, Havlin S 2010 Nature(in London) 464 1025
[8] Sun Y Z, Tang Y F 2010 Chin. Phys. B 19 020506
[9] Barrat A, Barthelemy M, Vespignani A 2009 Cambridge Univ Press 24 125
[10] Achlioptas D, D’Souza RM, Spencer J 2009 Science 323 1453
[11] Li X J, Xu Z Y, Xie Q C 2010 Acta Phys. Sin. 59 1532 [李小娟, 徐振源, 谢青春 2010 59 1532]
[12] Wang G Z, Cao Y J, Bao Z J, Han Z X 2009 Acta Phys. Sin. 58 3597 (in Chinese) [王光增, 曹一家, 包哲静, 韩祯祥 2009 58 3597]
[13] Nishikawa T, Motter A E, Lai Y C 2003 Phys. Rev. Lett. 91 14101
[14] Hong H, Kim B J, Choi M Y 2004 Phys. Rev. E 69 067105
[15] [周涛, 柏文洁, 汪秉宏 2005 物理 34 31]
[16] [汪小帆, 李翔, 陈关荣 2006 复杂网络理论及其应用 (北京: 清华大学出版社) 第194---221页]
[17] Wu Y, Shang Y, Chen M Y, Zhou C S, Kurths J 2008 chaos 18 037111
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[1] Shao J, Havlin S, Stanley H E 2009 Phys. Rev. Lett. 103 018701
[2] Newman M E J, Strogatz S H, Watts D J 2001 Phys. Rev. E 64 026118
[3] Moreira A A, Andrade J S, Herrmann H J, Indekeu J O 2009 Phys. Rev. Lett. 102 018701
[4] Hooyberghs H, VanSchaeybroeck B, Moreira A A, Andrade J S, Herrmann H J 2010 Phys. Rev. E 81 011102
[5] Zhou T, Wang B H 2005 Chin. Phys. Lett. 22 1072
[6] Li R H, Chen W S, Li S 2010 Chin. Phys. B 19 010508
[7] Sergey V, Buldyrev, Parshani R, Paul G, Stanley H E, Havlin S 2010 Nature(in London) 464 1025
[8] Sun Y Z, Tang Y F 2010 Chin. Phys. B 19 020506
[9] Barrat A, Barthelemy M, Vespignani A 2009 Cambridge Univ Press 24 125
[10] Achlioptas D, D’Souza RM, Spencer J 2009 Science 323 1453
[11] Li X J, Xu Z Y, Xie Q C 2010 Acta Phys. Sin. 59 1532 [李小娟, 徐振源, 谢青春 2010 59 1532]
[12] Wang G Z, Cao Y J, Bao Z J, Han Z X 2009 Acta Phys. Sin. 58 3597 (in Chinese) [王光增, 曹一家, 包哲静, 韩祯祥 2009 58 3597]
[13] Nishikawa T, Motter A E, Lai Y C 2003 Phys. Rev. Lett. 91 14101
[14] Hong H, Kim B J, Choi M Y 2004 Phys. Rev. E 69 067105
[15] [周涛, 柏文洁, 汪秉宏 2005 物理 34 31]
[16] [汪小帆, 李翔, 陈关荣 2006 复杂网络理论及其应用 (北京: 清华大学出版社) 第194---221页]
[17] Wu Y, Shang Y, Chen M Y, Zhou C S, Kurths J 2008 chaos 18 037111
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