نتایج جستجو برای: spectrum area multi fractal model
تعداد نتایج: 3107789 فیلتر نتایج به سال:
Fractal analyzing of continuous processes have recently emerged in literatures in various domains. Existence of long memory in many processes including financial time series have been evidenced via different methodologies in many literatures in past decade, which has inspired many recent literatures on quantifying the fractional Brownian motion (fBm) characteristics of financial time series. Th...
Velocity models used for wavefield-based seismic imaging represent approximations of the velocity characterizing the area under investigation. The real subsurface velocity can at best be approximated by the combination of a known background velocity and unknown multi-scale heterogeneities. Here, we model the multi-scale heterogeneity assuming a fractal behavior and compare this type of heteroge...
Fractal geometry provides a powerful tool for scale-free spatial analysis of cities, but the fractal dimension calculation results always depend on methods and scopes of study area. This phenomenon has been puzzling many researchers. This paper is devoted to discussing the problem of uncertainty of fractal dimension estimation and the potential solutions to it. Using regular fractals as archety...
Selfsimilar space-time fractal fluctuations are generic to dynamical systems in nature such as atmospheric flows, heartbeat patterns, population dynamics, etc. The physics of the long-range correlations intrinsic to fractal fluctuations is not completely understood. It is important to quantify the physics underlying the irregular fractal fluctuations for prediction of space-time evolution of dy...
We introduce a class of Parity-Time symmetric elastodynamic metamaterials (Ed-MetaMater) whose Hermitian counterpart exhibits frequency spectrum with unfolding (fractal) symmetries. Our study reveals scale-free formation exceptional points (EP) density is dictated by the fractal dimension their spectra. Demonstrated in quasi-periodic Aubry-Harper, geometric H-tree-fractal, and an aperiodic Fibo...
One important contribution has been made by Benoit Mandelbrot, the famous father of fractals who proposed a multi-fractal model of asset returns (MMAR), a theory which inherits all the hallmarks of Mandelbrot’s earlier work that has emerged since the 1970s. As a new formalization of stochastic models for the volatility dynamics of asset prices, it preserves the hierarchical multiplicative struc...
Fractal analysis of earthquakes, lineages and waterways are considered as one of the practical tools to evaluate tectonic activity. With the help of fractal analysis, structural maturity and tectonic dynamics can be evaluated. In this research, using fractal analysis and box counting method and fild studies, the measured fractal dimensions for the designed network of Alborz province were studie...
Secondary electrons at ground level of simulated extensive air showers have been analyzed using a wavelet transform based technique, in order to investigate the variation of fractal dimensions of the lateral distribution of the electrons with shower energy and primary particle mass number. The fractal dimension is shown to increase with shower energy and seems to saturate to constant values n...
The influence of a multi-scale fractal-based geometry on the decay of turbulence is investigated by comparing the turbulence produced by a square-fractal-element grid to that produced by two regular grids with similar physical properties. Comparison of the grid wakes at constant grid Reynolds number, ReM , identifies that in the farfield both regular grids produce comparable or higher turbulenc...
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