CORRELATIONS AND MULTIFRACTALITY IN AN EARTHQUAKE MODEL ON ASSORTATIVE SCALE-FREE NETWORKS FROM MONO- AND MULTI-FRACTAL ANALYSES

Min Lin (), Shuang-Xi Yan (), Gang Zhao () and Gang Wang ()
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Min Lin: Department of Mathematics, Ocean University of China, Qingdao 266100, P. R. China
Shuang-Xi Yan: Department of Mathematics, Ocean University of China, Qingdao 266100, P. R. China
Gang Zhao: College of Civil Aviation, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, P. R. China;
Gang Wang: Key Laboratory of Data Analysis and Applications (LDAA), First Institute of Oceanography, State Oceanic Administration, Qingdao 266061, P. R. China

International Journal of Modern Physics C (IJMPC), 2012, vol. 23, issue 10, 1-14

Abstract: The scaling properties of the avalanches' interevent time series in a modified Olami–Feder–Christensen (OFC) earthquake model on assortative scale-free networks have been investigated. We analyze the interevent time of avalanches with size larger than or equal toSthby using rescaled range (R/S) analysis and detrended fluctuation analysis (DFA) methods. Our results demonstrate positive correlation and persistent feature of the interevent time series. The multifractal detrended fluctuation analysis (MF-DFA) has evidenced differences among the avalanches' interevents interval with differentSth. We determine generalized Hurst exponent and singularity spectrum and find that the interevent time series have multifractal nature.

Keywords: Avalanche; DFA method; multifractality; 02.50.Ey; 45.70.Ht (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1142/S0129183112500702

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