Dow Jones Index time series exhibit irregular or fractal fluctuations on all time scales from days, months to years. The apparently irregular (nonlinear) fluctuations are selfsimilar as exhibited in inverse power law form for power spectra of temporal fluctuations. Inverse power law form for power spectra of fractal fluctuations in space or time is generic to all dynamical systems in nature and...

Information overload is a critical problem in World Wide Web. Category map developed based on Kohonen’s selforganizing map (SOM) has been proven to be a promising browsing tool for the Web. The SOM algorithm automatically categorizes a large Internet information space into manageable sub-spaces. It compresses and transforms a complex information space into a two-dimensional graphical representa...

in this paper, a design of a new E-shape fractal antenna for multistandard application is proposed. Fractal geometry is best suited for its self similarity and space filling characteristics. An optimized design of fourth iteration of E-shape fractal is designed to satisfy the higher multistandard mobile terminal application. Various mobile standards are obtained at the end of iteration in parti...

Abstract geometrical computation can solve NP-complete problems e ciently: any boolean constraint satisfaction problem, instance of SAT, can be solved in bounded space and time with simple geometrical constructions involving only drawing parallel lines on a Euclidean space-time plane. Complexity as the maximal length of a sequence of consecutive segments is quadratic. The geometrical algorithm ...

The cardinal differences in the theoretical description of classical and quantum particles, contradictions probabilistic (Copenhagen School) deterministic (De Broglie - Bohm theory) interpretation mechanics, features entangled states are briefly discussed. It is assumed that strange properties pair can be explained by localization particles not 3D physical space, but domain a fractal space aris...

earthquakes are a particular concern because of the serious hazard they present. the existence of seismicity patterns such as the foreshock and aftershock clusters, doughnut pattern, seismic quiescence etc show that the earthquake occurrence in the active tectonic regions is not random and clustering phenomena are obvious characteristics of these events in space and time. fractal analysis, as a...

Based on phase space reconstruction and fractal dynamics in nonlinear dynamics, a method is proposed to extract and analyze the dynamics of the rotating stall in the impeller of centrifugal compressor, and some numerical examples are given to verify the results as well. First, the rotating stall of an existing low speed centrifugal compressor (LSCC) is numerically simulated, and the time series...

In this work, major principles of the mathematical constitution of space and the principles of construction of the physical space are presented. Generalized conceptions of distances and dimensionality evaluation are proposed, together with their conditions of validity and range of application to topological spaces. The existence of a Boolean lattice with fractal properties originating from nonw...