Dynamical systems in nature exhibit selfsimilar fractal fluctuations and the corresponding power spectra follow inverse power law form signifying long-range space-time correlations identified as self-organized criticality. The physics of selforganized criticality is not yet identified. The Gaussian probability distribution used widely for analysis and description of large data sets underestimat...

— The objective of this paper is to characterize the spontaneous electroencephalogram (EEG) signals of four different motor imagery tasks and to show hereby a possible solution for the present binary communication between the brain and a machine or a brain-computer interface (BCI). The processing technique used in this paper was the fractal analysis evaluated by the critical exponent method (CE...

We show that the " time " t s defined via spin clusters in the Ising model coupled to 2d gravity leads to a fractal dimension d h (s) = 6 of space-time at the critical point, as advocated by Ishibashi and Kawai. In the unmagnetized phase, however, this definition of Hausdorff dimension breaks down. Numerical measurements are consistent with these results. The same definition leads to d h (s) = ...

A city has a very complex transportation network. It is very hard for city planners to evaluate it in both micro scale and macro scale and so far most of these works have been done empirically. In this study a new method named Distributive Continuous Fractal Analysis will be introduced to evaluate the road networks. Previous researches treat a city as a whole and did fractal analyses between ci...

BACKGROUND Fractal geometry is employ to characterize the irregular objects and had been used in experimental and clinic applications. Starting from a previous work, here we made a theoretical research based on a geometric generalization of the experimental results, to develop a theoretical generalization of the stenotic and restenotic process, based on fractal geometry and Intrinsic Mathematic...

We study fluctuational transitions in a discrete dynamical system that has two co-existing attractors in phase space, separated by a fractal basin boundary which may be either locally-disconnected or locally-connected. It is shown that, in each case, transitions occur via an accessible point on the boundary. The complicated structure of paths inside the locally-disconnected fractal boundary is ...

A new method for fractal image compression is proposed using genetic algorithm (GA) with an elitist model. The self transformation property of images is assumed and exploited in the fractal image compression technique. The technique described utilizes the GA, which greatly decreases the search space for finding the self similarities in the given image. This article presents theory, implementati...

introduction: soil hydraulic conductivity is considered as one of the most important hydraulic properties in water and solutionmovement in porous media. in recent years, variousmodels as pedo-transfer functions, fractal models and scaling technique are used to estimate the soil saturated hydraulic conductivity (ks). fractal models with two subset of two (solid and pore) and three phases (solid,...

Gene promoter networks (GPNs) are systems-level representations of the base pair-sharing relationships (graph edges) among promoters (graph nodes). It has been shown in the bacterium E. coli that these networks can contain a fractal nucleus of strong associations suggesting a self-organizing complexity. Here I report results of twenty seven in silico simulations for a diffusion limited aggregat...

sion and the resolution desired. The precision and the resolution are defined by one input value, while the shape The number of nodes of an edge quadtree is the measure of its space complexity. This number depends on the figure’s is calculated using the fractal dimension. The proposed shape, its resolution and its precision. The goal of this work is methodology uses the fractal measure also as ...