In this study, we examined the fractal structure of the Nikkei225, HangSeng, Shanghai Stock Exchange and Straits Times Index of Singapore. Empirical analysis was performed via non-parametric, semi-parametric long memory tests and also fractal dimension calculations. In order to avoid spurious...

Karst rocky desertification is one of the major ecological and environmental problems that threaten the sustainable development of southwestern China. This study focuses on a case study of the small watershed in Chenqi where karst rocky desertification is particularly severe. This paper...

The variation of fractal dimension and entropy during a damage evolution process, especially approaching critical failure, has been recently investigated. A sudden drop of fractal dimension has been proposed as a quantitative indicator of damage localization or a likely precursor of an impending...

The Bak–Sneppen model of co-evolution is used to derive synthetic time series with a priori specified fractal dimension (or Hurst exponent) through a mixing of processes in various lattice dimensions. Both theoretical and numerical analyses concern the avalanches at the critical threshold and...

Two-dimensional spring square network model involving the nearest and second neighbour bonds is studied by numerical simulation with Gauss–Seidel iteration for brittle fracture Mode I. The material-dependent parameter, G0/G, is introduced in this simulation, and G and G0 are the parameters...

An algorithm for calculating generalized fractal dimension of a time series using the general information function is presented. The algorithm is based on a strings sort technique and requires O(Nlog2N) computations. A rough estimate for the number of points needed for the fractal dimension...

The equilibrium Lame equation in two-dimensional and three-dimensional spaces can be presented as conductivity in magnetic field equation, with Lorenz force expression. This allows us to apply the perturbation theory and generalize the Lame equation, and obtain a new equilibrium equation with...

A new kind of invasion percolation is introduced in order to take into account the inertia of the invader fluid. The inertia strength is controlled by the number N of pores (or steps) invaded after the perimeter rupture. The new model belongs to a different class of universality with the fractal...