Snapshot attractors, i.e., attractors formed by a cloud of trajectories at the same instants of time, are usually employed to reveal the fractal structure of randomly or chaotically driven dynamical systems. A necessary condition for the underlying fractal structure to be observed is that the ensemble of particles utilized in the construction of the snapshot attractors are subject to identical ...

The design of rectangular patch antenna with fractal slots is presented in this paper. For designing the antenna FR4 epoxy substrate with thickness 1.6mm and relative permittivity of 4.4 is used as substrate. The resonant frequency used for designing the proposed antenna is 2GHz. Three iteration of proposed antenna is designed and simulated by using HFSS V13 software and different parameters of...

This paper presents a mathematical model for transient flow of the non-Newtonian power-law fluid in double porous media and fractal reservoir. By using Douglas-Jones predictor-corrector method, we obtain the solution for the constant rate condition at a single well in an infinite reservoir. The flow behavior is also analyzed. Finally, we discuss the pressure response to the various parameters. ...

Multiple fractal dimensions can depict the geometry characteristic of the signals from different levels, thus it can extract the features of different signals. The paper proposed an improved algorithm of multiple fractal dimension, it changed the calculation method of traditional multiple fractal dimension which accumulated the q dimensions characteristics. It increased the regularity and gathe...

In this paper, the optical properties of one dimensional fractal structures are investigated. We consider six typical fractal photonic structures: the symmetric dual cantor-like fractal structure, the asymmetric dual cantor-like fractal structure, the single cantor-like fractal structure, the symmetric dual golden-section fractal structure, the asymmetric dual golden-section fractal structure a...

– The clustering of galaxies is well characterized by fractal properties, with the presence of an eventual cross-over to homogeneity still a matter of considerable debate. In this letter we discuss the cosmological implications of a fractal distribution of matter, with a possible cross-over to homogeneity at an undetermined scale Rhomo. Contrary to what is generally assumed, we show that, even ...

Wideband application put a new demand on antennas pertaining to size, gain, efficiency, bandwidth and more. This paper presents the design and analysis of fractal antenna which uses the self similarity property of fractal geometry. This unique property is exploited to develop antenna elements that are wideband and compact possessing highly desirable properties. The presented antenna is circle i...

In a previous article, we have proposed that the large scale structure network generated by large scale magnetic fields could consist of a network of octahedra only contacting at their vertexes. Assuming such a network could arise at different scales producing a fractal geometry, we study here its properties, and in particular how a sub-octahedron network can be inserted within an octahedron of...

1 University of Banjaluka, Faculty of Electrical Engineering, Patre 5, 78000 Banjaluka, Bosnia and Herzegovina, E-mail: nemanjapoprzen@gmail 2 University of Banjaluka, Faculty of Electrical Engineering, Patre 5, 78000 Banjaluka, Bosnia and Herzegovina, E-mail: [email protected] Abstract: This report will describe the theories and techniques for shrinking the size of an antenna through the use of ...