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Volumn 90, Issue 1, 2014, Pages

Simultaneous first- and second-order percolation transitions in interdependent networks

Author keywords

[No Author keywords available]

Indexed keywords

CONDENSED MATTER PHYSICS; PHYSICS;

EID: 84904202315     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.90.012803     Document Type: Article
Times cited : (126)

References (39)
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    • Using disturbance data to assess vulnerability of electric power delivery systems
    • DOI 10.1061/(ASCE)1076-0342(2006)12:4(243)
    • Å. J. Holmgren and S. Molin, J. Infrastruct. Syst. 12, 243 (2006). 1076-0342 10.1061/(ASCE)1076-0342(2006)12:4(243) (Pubitemid 44768338)
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    • We tested also by taking a few different realizations and keeping the network structures and changing only the attack order. The results have been found to be very similar, as seen in Fig. 8.
    • We tested also by taking a few different realizations and keeping the network structures and changing only the attack order. The results have been found to be very similar, as seen in Fig. 8.
  • 33
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    • In order to estimate the length of the plateau stage, we introduce a method to define the beginning (Equation presented) and the end (Equation presented) of the plateau in each realization. In Fig. 3(a) we find the time step (Equation presented) of the first local minimum and (Equation presented) of the last local minimum. Then we define a threshold (Equation presented), which is twice the average failure size between these two minimums. This is because the (Equation presented) values always have some random fluctuations above or below the mean value, which should be the same order as the mean. Therefore, we use twice the mean as the threshold for including such fluctuations. Then we define (Equation presented) and (Equation presented) as the first time step and the last one where (Equation presented).
    • In order to estimate the length of the plateau stage, we introduce a method to define the beginning (Equation presented) and the end (Equation presented) of the plateau in each realization. In Fig. 3(a) we find the time step (Equation presented) of the first local minimum and (Equation presented) of the last local minimum. Then we define a threshold (Equation presented), which is twice the average failure size between these two minimums. This is because the (Equation presented) values always have some random fluctuations above or below the mean value, which should be the same order as the mean. Therefore, we use twice the mean as the threshold for including such fluctuations. Then we define (Equation presented) and (Equation presented) as the first time step and the last one where (Equation presented).
  • 34
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    • Complex dynamics of blackouts in power transmission systems
    • DOI 10.1063/1.1781391
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    • (2004) Chaos , vol.14 , Issue.3 , pp. 643-652
    • Carreras, B.A.1    Lynch, V.E.2    Dobson, I.3    Newman, D.E.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.