We investigate the geodesic motion in D−dimensional Majumdar-Papapetrou multi-black hole spacetimes and find that the qualitative features of the D = 4 case are shared by the higher dimensional configurations. The motion of timelike and null particles is chaotic, the phase space being divided into basins of attraction which are separated by a fractal boundary, with a fractal dimension dB . The ...

Fractal, which means broken or irregular fragments, was originally coined by Dr B. Mandelbrot in the year the 1970. Fractals describe a family of complex shapes that possess an inherent self-similarity in their geometrical structure usually in nature, since the pioneering work of Mandelbrot and others, a wide variety of applications for fractals has been found in many branches of science and en...

The fractal antennas that have the multiband operation due to the self-similar property in fractal geometry, which plays a key role to create a fractal circular monopole patch antenna. The other important property that is, Space-filling property which actually determines the reduction in the size of the antenna. This property adds more electrical length in less volume which reduces the size of ...

With aging and disease, there is a breakdown of the natural fractal-like organization of heart rate (HR). Fractal-like correlation properties of HR can be assessed with detrended fluctuation analysis (DFA). A short-time scaling exponent (alpha(s)) value of 1 is associated with healthy HR dynamics, whereas values that deviate away from 1, in either direction, indicate fractal collapse. The purpo...

In this paper we propose the optimization of patch size for a fractal hybrid antenna that can be used in GPS applications. This project is about two different models namely sierpinski gasket fractal antenna and Koch rectangular fractal antenna. A fractal antenna in general is characterized by space filling and self-similarity properties. These fractal shaped antennas have their own unique chara...

A construction method of fractal interpolation surface on a rectangular domain with arbitrary interpolation nodes is introduced. The variation properties of the bivariate functions corresponding to this type of fractal interpolation surfaces are discussed.

In this work, the anisotropic linear elastic properties of two-phase composite materials, made up of square inclusions embedded in a matrix, are investigated. The inclusions present a fractal hierarchical distribution and are supposed to have the same Poisson's ratio as the matrix but a different Young's modulus. The effective elastic moduli of the medium are computed at each fractal iteration ...