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Questions related from Siavash Mohammadi
In systems analysis, wavelet transform is used compared to Fourier transform, because wavelets are functions in which most of their energy is concentrated over a short period of time and converges...
18 February 2022 1,944 4 View
Chaos is a long-term non-periodic behavior in a deterministic system that is dependent Shows sensitivity to initial conditions. The operating environment of chaos is dynamic systems. A dynamic...
26 May 2021 7,471 3 View
Principle objective of Image enhancement is to process an image so that result is more suitable than original image for specific application. Digital image enhancement techniques provide a...
06 April 2021 6,332 3 View
In mathematics, self-affinity is a feature of a fractal whose pieces are scaled by different amounts in the x- and y-directions. This means that to appreciate the self similarity of these...
22 May 2020 7,984 0 View
According to the articles, we use fourier transform to compute power spetra density(psd) in spectral analysis , Sm = psd = lim {2|Ym|^2 /( N * delta) }, m=1,2,3,..., N / 2 psd is a function of...
04 March 2020 2,528 4 View
Equilibrium is a state of a system which does not change. If the dynamics of a system is described by a differential equation (or a system of differential equations), then equilibria can be...
24 November 2019 471 5 View
the relationship between the fractal dimension and the optimization control systems is that the fractal dimension provides the substrate necessary to create the optimal trajectory for a tumor...
14 November 2019 1,133 2 View
The FitzHugh-Nagumo model is a reduction of the Hodgkin-Huxley model that is e effectively a modifi cation of the Van der Pol Oscillator. The Hodgkin-Huxley model is a Nobel Prize-winning model...
18 May 2019 1,501 0 View
Measuring dependency of chaotic systems on initial values by Lyapunov exponent, an original trajectory along with a perturbed one is needed, but I cannot understand the connection with the...
01 January 1970 7,362 2 View
The rate of separation can be different for different orientations of initial separation vector. Thus, there is a spectrum of Lyapunov exponents—equal in number to the dimensionality of the phase...
01 January 1970 6,349 4 View
Wavelet is a function that is localized in time and frequency, generally with a zero mean. It is also a tool for decomposing a signal by location and frequency. Wavelet decomposition is original...
01 January 1970 1,320 5 View
Wavelets are a set of mathematical functions used to decompose a signal continuously into its frequency components, the resolution of each component being equal to its scale. A wavelet transform...
01 January 1970 8,212 1 View
With Fourier relations, the Lorenz and Rossler dynamic system was formulated (alpha) based on fixed parameters, and analyzed with fixed parameters to describe the chaotic behavior, Is it possible...
01 January 1970 9,865 3 View
The original and transformed signal are both shown in Fig. 2.1. we have chosen to join the given points by straight line segments to get a good visualization of the signals. I perform a more...
01 January 1970 8,809 5 View
I obtained the wavelet function and the scale function according to the formula for daubechies 4 in discrete mode. How is the function (wavelet and scale) analyzed at a particular point?
01 January 1970 9,627 4 View
The purpose of synchronizing two systems is to provide the conditions for the dynamic behavior of two similar or different systems to coincide with non-identical initial conditions over time. In...
01 January 1970 5,726 3 View
Gaussian noise refers to random variations that follow a normal distribution, also known as a Gaussian distribution. Fractals, on the other hand, are complex and self-repeating geometric...
01 January 1970 6,939 2 View
Sumudu Transform: The Sumudu transform is a generalized version of the Laplace and Fourier transforms. It has been used in diverse fields such as signal processing, image analysis, and...
01 January 1970 6,790 1 View
In mathematics, a self-similar object is exactly or approximately similar to a part of itself (i.e., the whole has the same shape as one or more of the parts). Many objects in the real world, such...
01 January 1970 3,434 8 View
Fractal analysis and data science are both interdisciplinary fields that complement each other in various ways. 1. Understanding Complex Data: Fractal analysis provides a framework for...
01 January 1970 3,602 3 View
I came up with a formula based on constant parameters of dynamical systems, and drag diagrams by creating a matlab code(The results are specified in the figures), How is this simulation and...
01 January 1970 547 0 View
when I analyse the solution of dynamical system(in time series) by wavelet decomposition, how can I distinguish the differences in figures d1,d2,...,d5?
01 January 1970 6,045 6 View
I'm not sure I quite understand why systems with fractal systems show power-law behavior. My "gut" understanding is that the power-law index indicates the correct scaling factor for the system...
01 January 1970 7,558 5 View
