Often, the dynamics of large systems in Nature is governed by extrema1 events rather than typical events. This type of dynamics causes the system to self-organize into a critical, complex state. The approach to the complex attractor can be related to the behavior in the complex state itself. This behavior may be characterized as a fractal in c1 spatial plus one temporal dimension. The temporal ...

Why does fractal image compression work? What properties must an image have for fractal block coders to work well? What is the implicit image model underlying fractal image compression? The behavior of fractal block coders is clear for deterministically self-similar structures. In this paper we examine the behavior of these coders on statistically self-similar structures. Speci cally, we examin...

in this work, sio2 –zro2 mixed oxides was prepared by the polymeric sol–gel route. the characterization of pore structure, which determines the permeation process of membrane, is of great importance. so far, most investigations have focused on such pore structure as specific surface area and pore size distribution, but the surface fractal, the important parameter reflecting the roughness of por...

We use the fractional integrals to describe fractal solid. We suggest to consider the fractal solid as special (fractional) continuous medium. We replace the fractal solid with fractal mass dimension by some continuous model that is described by fractional integrals. The fractional integrals are considered as approximation of the integrals on fractals. We derive fractional generalization of the...

21 A theoretical effective thermal conductivity model is derived based on fractal 22 distribution characteristics of nanoparticle aggregation. Considering two different 23 mechanisms of heat conduction including particle aggregation and convention, the 24 model is expressed as a function of the fractal dimension and concentration. In the 25 model, the change of fractal dimension is related to t...

Fractal measures like fractal dimension and lacunarity are widely-used for the analysis of textures, or any images with self-similar content. However, all the existing approaches are defined for one dimensional signals or binary images with extension to grey-scale images. We propose a colour approach, derived from the existing probabilistic algorithm for the computation of the fractal dimension...

We describe the fractal solid by a special continuous medium model. We propose to describe the fractal solid by a fractional continuous model, where all characteristics and fields are defined everywhere in the volume but they follow some generalized equations which are derived by using integrals of fractional order. The order of fractional integral can be equal to the fractal mass dimension of ...

background: heavy metals have been recognized as harmful environmental pollutant known to produce highly toxic effects on different organs and systems of both humans and animals. the aim of this paper is to evaluate the adsorption potential of chitosan for the removal of pb(ii), fe(ii) and cu(ii) ions from aqueous solutions. methods: this study was conducted in laboratory scale. in this paper c...