The scaling behavior of the 1998–2009 seismicity in Guerrero, southern Mexico, was studied by means of the detrended fluctuation analysis (DFA). We found that inter-seismic periods are correlated with a transition in the scaling behavior at about 200 seismic events. Correlations are relatively...

In surface growth simulations, usually the substrate is initially considered smooth with no roughness. But as known in reality, many substrates in nature are initially rough. In this article, we study the sensitivity of dynamic scaling of different models on rough substrates generated by...

We combine Tsallis statistics with extended selfsimilarity to calculate scaling exponents of moments in a nonextensive statistical model of fully developed turbulence. One obtains numerical values of scaling exponents that agree very well with experimental data. Our approach is based on a...

The aim of this study was to detect and compare the changes in the time–frequency and fractal scaling behaviors of heart rate (HR) and respiratory frequency (Rf), recorded simultaneously during a high altitude mountain ascent. The time–frequency analysis was performed using the local cosine4...

By using a large amount of data collected in the atmospheric surface layer, we analyze the probability density functions (PDFs), the probability of return and the moments of wind velocity increments. Results show that the PDFs change from the non-Gaussian long-tailed distributions to Gaussian...

Fractal is employed in this paper as a scale-based method for the identification of the scaling behavior of time series. Many spatial and temporal processes exhibiting complex multi(mono)-scaling behaviors are fractals. One of the important concepts in fractals is crossover time scale(s) that...

We study two models for competitive deposition and evaporation of particles from rough surfaces. The process of deposition is carried out for two models, one according to the ballistic deposition (BD) and the other according to the random deposition with a surface relaxation (RDSR). The process...

We investigate how various coarse-graining (signal quantization) methods affect the scaling properties of long-range power-law correlated and anti-correlated signals, quantified by the detrended fluctuation analysis. Specifically, for coarse-graining in the magnitude of a signal, we consider (i)...

We investigate the statistical properties of the empirical data taken from the Chinese stock market during the time period from January, 2006 to July, 2007. By using the methods of detrended fluctuation analysis (DFA) and calculating correlation coefficients, we acquire the evidence of strong...

Pattern dynamics of a three-trophic population model was numerically investigated in a two-dimensional space. By measuring the spatial correlation function of the domain patterns, whose density was higher than 90% of the maximum density in the whole area, we found that the characteristic length...