Soot agglomerates emitted by diesel engines are composed of primary particle forming irregular clusters. Such irregularity can be quantified by the fractal dimension, whose determination depends on certain parameters not unanimously established, such as the prefactor of the power law relationship. Mean values of the fractal dimension of large collections of agglomerates are usually determined i...

This paper applies a new traffic model, iterated function systems (IFS) for network traffic modelling, to explore computer network behaviour and analyse network performance. IFS model can generate various self-similar data flows according to a certain character. In the light of the experiments, we have discovered interesting phenomena. It is found that increasing the routers’ processing capacit...

The transmission spectrum of fractal polyadic Cantor superlattice exhibits sharp peaks within forbidden frequency gaps. This property has been exploited by placing such self-similar multi-slab structure in the far field radiation region above a radiating element such as a patch antenna to maximize its directivity at the corresponding transmission peak. A patch antenna having directivity of 30 d...

We consider a fractal scalar conservation law, that is to say, a conservation law modified by a fractional power of the Laplace operator, and we propose a numerical method to approximate its solutions. We make a theoretical study of the method, proving in the case of an initial data belonging to L∞ ∩ BV that the approximate solutions converge in L∞ weak-∗ and in Lp strong for p < ∞, and we give...

This study investigates the predictions of real contact area for perfectly elastic rough surfaces using a boundary element method (BEM). Sample surface measurements were used in BEM to predict as function load. The normalized by root-mean-square (RMS) slope evaluate if would collapse onto one master curve. If so, this confirm that areas manufactured, measured are directly proportional root mean...

The power spectrum of airborne magnetometer total intensity field profiles can be used to determine average depth values to buried magnetic rocks. These depths are established from the slope of the log-power spectrum at the lower end of the total wavenumber, or spatial frequency band. The method is based on the assumption that the magnetic effect of the basement surface can be simulated by an u...

We introduce the notion of “fractafold”, which is to a fractal what a manifold is to a Euclidean half-space. We specialize to the case when the fractal is the Sierpinski gasket SG. We show that each such compact fractafold can be given by a cellular construction based on a finite cell graph G, which is 3-regular in the case that the fractafold has no boundary. We show explicitly how to obtain t...

UNLABELLED The article investigates the effect of thermal modification of porous carbon material (PCM), obtained from plant feedstock, on its morphology and fractal structure by small-angle X-ray scattering (SAXS) method. The analysis of the scattering intensity curves serve the basis for calculating the parameters of the PCM porous structure: the Porod constant, the Porod invariant, average po...

The performance of any block based image coder can be improved by applying fractal terms to selected blocks. Two novel methods are used to achieve this. Firstly the coder determines whether a local fractal term will improve each image block by examining its rate/distortion contribution, so that only beneficial fractal terms are used. Secondly, the decoder deduces the offset parameters for the l...