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A model of cascading failures in complex networks with an emergency recovery mechanism is proposed in this paper, and the cascading dynamics is investigated by running the proposed model on nearest-neighbor coupled network, Erdos-Renyi random graph network, Watts-Strogatz small-world network and Barabasi-Albert scale-free network respectively. New concepts in emergency recovery mechanism and the efficiency of networks are defined. And the effects of the parameters on the network efficiency and failure rate are investigated. Results demonstrate that the increase of the emergency recovery probability would reduce the network efficiency decreasing speed and the failure rate growing speed, and also improve the resilience of the network. And the greater the load capacity of the nodes in the network, the slower the speeds of network efficiency reducing and failure rate growing. Meanwhile, with the decrease of the overload node failure probability, the reducing speed of network efficiency and the growing speed of failure rate would reduce gradually. Furthermore, the changes of the network efficiency and failure rate during the process of cascading failures in different network topologies are analyzed. It is found that the rise of the heterogeneity of degree distribution increases the reducing speed of network efficiency and the growing speed of failure rate. All these results can help analyze the cascading dynamics in complex networks with an emergency recovery mechanism, and may provide a guidance for the controling of cascading failures and protecting against them in real-life complex networks.
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[55] 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]
[56] [57] Wang J, Liu Y H, Zhu J Q, Jiao Y 2008 J Zhejiang Univ Sci A 9 101331
[58] [59] Barabsi A L, Bonabeau E 2003 Scientific American 5 50
[60] [61] Newman M E J 2003 SIAM Review 45 167
[62] [63] Erdos P, Rnyi A 1960 Publ. Math. Inst. Hung. Acad. Sci. 5 17
[64] [65] [66] Watts D J, Strogatz S H 1998 Nature 393 409
[67] Barabsi A L, Albert R 1999 Science 286 509
[68] [69] Li Z, Xu G A, Ban X F, Zhang Y, Hu Z M 2013 Acta Phys. Sin. 62 200203 (in Chinese) [李钊, 徐国爱, 班晓芳, 张毅, 胡正名 2013 物理学报 62 200203]
[70] -
[1] Wang J W, Rong L L 2009 Physica A 388 1289
[2] [3] Heide D, Schafer M, Greiner M 2008 Phys. Rev. E 77 056103
[4] [5] Bao Z J, Gao Y J, Ding L J, Wang G Z, Han Z X 2008 Physica A 387 5922
[6] [7] [8] Simonsen I, Buzna L, Peters K, Bornholdt S, Helbing D 2008 Phys. Rev. Lett. 100 218701
[9] Li P, Wang B H, Sun H, Gao P, Zhou T 2008 Eur. Phys. J. B 62 1
[10] [11] Bao Z J, Cao Y J, Ding L J, Han Z X, Wang G Z 2008 Phys. Lett. A 372 5778
[12] [13] Wang X F, Xu J 2004 Phys. Rev. E 70 056113
[14] [15] Kinney R, Crucitti P, Albert R, Latora V 2005 Eur. Phys. J. B 46 101
[16] [17] [18] Crucitti P, Latora V, Marchiori M 2004 Phys. Rev. E 69 045104
[19] [20] Zhao L, Park K, Lai Y C 2004 Phys. Rev. E 70 035101
[21] Goh K I, Kahng B, Kim D 2002 Phys. Rev. Lett. 88 108701
[22] [23] [24] Zhao L, Park K, Lai Y C, Ye N 2005 Phys. Rev. E 72 025104
[25] [26] Wu J J, Gao Z Y, Sun H J 2007 Physica A 378 505
[27] [28] Motter A E, Lai Y C 2002 Phys. Rev. E 66 065102
[29] Goh K I, Lee D S, Kahng B, Kim D 2003 Phys. Rev. Lett. 91 148701
[30] [31] Moreno Y, Gomez J B, Pacheco A F 2002 Europhys. Lett. 58 630
[32] [33] Wang W X, Chen G R 2008 Phys. Rev. E 77 026101
[34] [35] Motter A E 2004 Phys. Rev. Lett. 93 098701
[36] [37] Zhao H, Gao Z Y 2007 Eur. Phys. J. B 57 95
[38] [39] Sun H J, Zhao H, Wu J J 2008 Physica A 387 6431
[40] [41] Ash A, Newth D 2007 Physica A 380 673
[42] [43] [44] Wang J W, Rong L L 2009 Physica A 388 1731
[45] Latora V, Marchiori M 2001 Phys. Rev. Lett. 87 198701
[46] [47] [48] Li Y, Lv L, Luan L 2009 Acta Phys. Sin. 58 4463 (in Chinese) [李岩, 吕翎, 栾玲 2009 物理学报 58 4463]
[49] Xu Q X, Xu X J 2009 Chin. Phys. B 18 933
[50] [51] [52] Li T, Pei W J, Wang S P 2009 Acta Phys. Sin. 58 5903 (in Chinese) [李涛, 裴文江, 王少平 2009 物理学报 58 5903]
[53] [54] Chen H L, Liu Z X, Chen Z Q, Yuan Z Z 2009 Acta Phys. Sin. 58 6068 (in Chinese) [陈华良, 刘忠信, 陈增强, 袁著祉 2009 物理学报 58 6068]
[55] 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]
[56] [57] Wang J, Liu Y H, Zhu J Q, Jiao Y 2008 J Zhejiang Univ Sci A 9 101331
[58] [59] Barabsi A L, Bonabeau E 2003 Scientific American 5 50
[60] [61] Newman M E J 2003 SIAM Review 45 167
[62] [63] Erdos P, Rnyi A 1960 Publ. Math. Inst. Hung. Acad. Sci. 5 17
[64] [65] [66] Watts D J, Strogatz S H 1998 Nature 393 409
[67] Barabsi A L, Albert R 1999 Science 286 509
[68] [69] Li Z, Xu G A, Ban X F, Zhang Y, Hu Z M 2013 Acta Phys. Sin. 62 200203 (in Chinese) [李钊, 徐国爱, 班晓芳, 张毅, 胡正名 2013 物理学报 62 200203]
[70]
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