Abstrad-lo simulate general particle motion on the cross-section of a particle laden jetllow by using fractal point sets, a feedback control process is developed to ensurc the validity of nonlinear mapping techniques that transform an original fractal point set into the point set with any desired velocity profile. The points are utrlized to represent quantitatively functional ahrasive particles...

A number of recent papers have suggested that the series of time intervals produced in continuation tapping may have fractal properties. This proposition, nevertheless, was only based on the visual appraisal of graphical results, and was not statistically supported. In the present study, we applied the ARMA/ARFIMA modeling procedures proposed by Wagenmakers, Farrell, and Ratcliff (2005) to test...

Abstract A universal capillary pressure model developed from fractal modeling of a porous medium was verified using the experimental data of capillary pressure curves of rock samples from The Geysers geothermal field. The capillary pressure curves were measured using a mercury intrusion technique. The results showed that the universal model could represent the capillary pressure curves of The G...

In this paper, we explore modern methods and algorithms from fractal/chaotic systems theory for modeling speech signals in a multidimensional phase space and extracting characteristic invariant measures like generalized fractal dimensions and Lyapunov exponents. Such measures can capture valuable information for the characterisation of the multidimensional phase space which is closer to the tru...

Source traac streams as well as aggre-gated traac ows often exhibit long-range-dependent (LRD) properties. In this paper, we model each traac stream component through the multiplicative multi-fractal counting process traac model. We prove that the superposition of a nite number of multiplicative multifractal traac streams results in another multi-fractal stream. This property makes the multifra...

This paper looks at the extraction of nonlinear turbulence information of the speech signal using Multi-Scale Fractal Dimension (MFD) as the additional feature to the convectional MFCC features. The MFD is estimated using both Box-Counting and Minkowiski-Bouligand dimensions. The proposed framework uses this feature extraction together with sub-band based speaker modeling rather than the wide-b...

In this paper, we develop algorithms for calculation of fractal measures and characteristic exponents for modeling of chaotic systems evolution. Using temporal localization along phase trajectories of a chaotic attractor reconstructed from nonlinear time series, we achieve the essential reduction of required computer resources that allows the nonlinear analysis algorithms to be realized even fo...

This paper presents an approach for fractal image compression that yields the best performance compared to fractal methods that do not rely on hybrid transform coding. The achievement is obtained using the standard algorithm in which the image is partitioned into non-overlapping range blocks which are approximated by corresponding larger domain blocks with image intensities that are affinely si...

The use of Beer's law to describe the radiation regime in plant canopies is valid for a sufficiently large volume filled densely with phytoelements. This set a limit to the scale at which models, based on Beer's law, can account for structural features of vegetation canopies and provide an adequate prediction of the radiation regime. The aim of our paper is to analyze radiation interaction in v...