Fractal and multifractal measures of natural and synthetic fracture networks

Fractal Modeling of Natural Fracture Networks

Fractal and multifractal analyses of bipartite networks

Bipartite networks have attracted considerable interest in various fields. Fractality and multifractality of unipartite (classical) networks have been studied in recent years, but there is no work to study these properties of bipartite networks. In this paper, we try to unfold the self-similarity structure of bipartite networks by performing the fractal and multifractal analyses for a variety o...

Direct fractal measurement and multifractal properties of fracture surfaces

A new method of fractal measurement, the projective covering method (PCM), is proposed in this Letter. Based on the measurements by means of a laser profilometer, the fractal dimension D E [2,3) of a fracture surface is directly estimated. The projective covering probability function is introduced to systematically analyze the multifractal behavior of the fracture surfaces. @ 1998 Elsevier Scie...

Fractal and Multifractal Time Series

5 Methods for Non-Stationary Fractal Time-Series Analysis 15 5.1 Wavelet Analysis . . . . . . . . . . . . . . . . . . . . . . . . . 15 5.2 Discrete Wavelet Transform (WT) Approach . . . . . . . . . . 16 5.3 Detrended Fluctuation Analysis (DFA) . . . . . . . . . . . . . 16 5.4 Detection of Trends and Crossovers with DFA . . . . . . . . . 19 5.5 Sign and Magnitude (Volatility) DFA . . . . . . . ....

The Fractal and Multifractal Nature of Traffic

Traffic flow has traditionally been viewed either as a stochastic process, or as a kinematic fluid. In the case of the former usually only the equilibria and mean results have been of interest. In the latter situation traffic has been viewed as having a continuous differentiable density (perhaps with occasional shocks). Neither of these properly address the nature of traffic if the inherent tra...