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Wyświetlanie 1-10 z 11
Tytuł:
On the computation of the GCD of 2-D polynomials
Autorzy:
Tzekis, P.
Karampetakis, N. P.
Terzidis, H. K.
Powiązania:
https://bibliotekanauki.pl/articles/929803.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
największy wspólny dzielnik
dyskretne przekształcenie Fouriera
wielomian dwuzmienny
greatest common divisor
discrete Fourier transform
two-variable polynomial
Opis:
The main contribution of this work is to provide an algorithm for the computation of the GCD of 2-D polynomials, based on DFT techniques. The whole theory is implemented via illustrative examples.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2007, 17, 4; 463-470
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Chaotic assessment of the heave and pitch dynamics motions of air cushion vehicles
Autorzy:
Sowayan, A. S.
Powiązania:
https://bibliotekanauki.pl/articles/1839831.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
transformata Fouriera
poduszka powietrzna
model pojazdu
air cushion vehicles
Poincaré map
fast Fourier transform
heave motion
pitching motion
Opis:
In this study, a three degrees of freedom nonlinear air cushion vehicle (ACV) model is introduced to examine the dynamic behavior of the heave and pitch responses in addition to the cushion pressure of the ACV in both time and frequency domains. The model is based on the compressible flow Bernoulli’s equation and the thermodynamics nonlinear isentropic relations along with the Newton second law of translation and rotation. In this study, the dynamical investigation was based on a numerical simulation using the stiff ODE solvers of the Matlab software. The chaotic investigations of the proposed model are provided using the Fast Fourier Transform (FFT), the Poincaré maps, and the regression analysis. Three control design parameters are investigated for the chaotic studies. These parameters are: ACV mass (M), the mass flow rate entering the cushion volume (in), and the ACV base radius (r). Chaos behavior was observed for heave, and pitch responses as well as the cushion pressure.
Źródło:
International Journal of Applied Mechanics and Engineering; 2021, 26, 2; 219-234
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Response due to concentrated force in micropolar elastic solid with voids
Autorzy:
Singh, R.
Singh, K.
Powiązania:
https://bibliotekanauki.pl/articles/955252.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
prawo Laplace'a
metoda Fouriera
porowatość
eigenvalue
voids
Laplace and Fourier transform
concentrated force
Romberg's integration
Opis:
The eigen value approach, following Laplace and Fourier transforms has been employed to find the general solution of the field equation in a micropolar elastic solid with voids for the plane strain problem. An application of an infinite space with impulsive force has been taken to illustrate the utility of the approach. The integral transformations have been inverted by using a numerical inversion technique to get result in physical domain. The result in the form of normal displacement, volume fraction, normal force stress, tangential force stress and tangential couple stress components has been obtained numerically and illustrated graphically to depict the effect of micropolarity and voids.
Źródło:
International Journal of Applied Mechanics and Engineering; 2014, 19, 4; 755-769
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Image cipher applications using the elliptical curve and chaos
Autorzy:
Silva-García, Víctor Manuel
Flores-Carapia, Rolando
Rentería-Márquez, Carlos
Luna-Benoso, Bejamín
Chimal-Eguía, Juan Carlos
Powiązania:
https://bibliotekanauki.pl/articles/329867.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
elliptic curve
chaos
discrete Fourier transform
image ciphering
krzywa eliptyczna
dyskretna transformata Fouriera
Opis:
A novel symmetric cryptosystem of the substitution permutation network type is presented for image encryption in 14 rounds. An algorithm is developed to generate 15 keys to encrypt images where each key is the image size. These keys are calculated using an elliptic curve with a constant zero value. The proposed curve is non-singular, non-supersingular, nor trace one. Chaos is employed to find a generating element in a cyclic subgroup and it is produced using the logistic map equation. In addition, a 16 × 16 substitution box is constructed using both chaos and an algorithm that defines a bijective function. The following tools are used in order to measure the degree of randomness of the encrypted figures: entropy, correlation, the discrete Fourier transform and a goodness-of-fit test with the chi-square distribution. Furthermore, an image size variable permutation is applied in the first round, and its inverse in the fourteenth.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2020, 30, 2; 377-391
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Anti – plane crack emanating from the interface in a bounded smart PEMO- elastic structure
Autorzy:
Rogowski, B.
Powiązania:
https://bibliotekanauki.pl/articles/955285.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
interfejs
natężenie pola
transformacja Fouriera
równanie Cauchy'ego
interface
anti-plane shear crack
singularity of power law
field intensity factors
magnetoelectroelastic behaviour
Fourier transform
Cauchy singular integral equation
exact solution
Opis:
The magnetoelectroelastic analysis of two bonded dissimilar piezo-electro-magneto-elastic ceramics with a crack perpendicular to and terminating at the interface is made. By using the Fourier integral transform (in perpendicular directions in each materials), the mixed boundary conditions and continuity conditions are transformed to a singular integral equation with generalized Cauchy kernel, the solution of which has been well studied, and classical methods are directly applicable here to obtain the closed form solution. The results are presented for a permeable crack under anti-plane shear loading and in-plane electric and magnetic loadings, as prescribed electric displacement and magnetic inductions or electric and magnetic fields. The results indicate that the magnetoelectroelastic field near the crack tip in the homogeneous PEMO- elastic ceramic is dominated by a traditional inverse square-root singularity, while the coupled field near the crack tip at the interface exhibits the singularity of the power law r--α , r being the distance from the interface crack tip and α depending on the material constants of a bimaterial. In particular, electric and magnetic fields have no singularity at the crack tip in a homogeneous solid, whereas they are singular around the interface crack tip. Numerical results are given graphically to show the effects of the material properties on the singularity order, field intensity factors and energy release rates. The results presented in this paper should have potential applications to the design of multilayered magnetoelectroelastic structures.
Źródło:
International Journal of Applied Mechanics and Engineering; 2013, 18, 4; 1165-1199
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Response due to impulsive force in generalized thermomicrostretch elastic solid
Autorzy:
Kumar, V.
Singh, R.
Powiązania:
https://bibliotekanauki.pl/articles/264737.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
thermo-microstretch
eigenvalue
Laplace transform
Fourier transform
impulsive force
ciała sprężyste
prawo Laplace'a
analiza Fouriera
Opis:
A two dimensional Cartesian model of a generalized thermo-microstretch elastic solid subjected to impulsive force has been studied. The eigen value approach is employed after applying the Laplace and Fourier transforms on the field equations for L-S and G-L model of the plain strain problem. The integral transforms have been inverted into physical domain numerically and components of normal displacement, normal force stress, couple stress and microstress have been illustrated graphically.
Źródło:
International Journal of Applied Mechanics and Engineering; 2015, 20, 3; 487-502
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the computation of the minimal polynomial of a polynomial matrix
Autorzy:
Karampetakis, P.
Tzekis, P.
Powiązania:
https://bibliotekanauki.pl/articles/908531.pdf
Data publikacji:
2005
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
wielomian minimalny
dyskretna transformacja Fouriera
macierz wielomianowa
macierzowe równanie liniowe
minimal polynomial
discrete Fourier transform
polynomial matrix
linear matrix equations
Opis:
The main contribution of this work is to provide two algorithms for the computation of the minimal polynomial of univariate polynomial matrices. The first algorithm is based on the solution of linear matrix equations while the second one employs DFT techniques. The whole theory is illustrated with examples.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2005, 15, 3; 339-349
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Determining the weights of a Fourier series neural network on the basis of the multidimensional discrete Fourier transform
Autorzy:
Halawa, K.
Powiązania:
https://bibliotekanauki.pl/articles/907904.pdf
Data publikacji:
2008
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sieć neuronowa ortogonalna
szereg Fouriera
transformata Fouriera
aproksymacja
system nieliniowy
orthogonal neural networks
Fourier series
fast Fourier transform
approximation
nonlinear system
Opis:
This paper presents a method for training a Fourier series neural network on the basis of the multidimensional discrete Fourier transform. The proposed method is characterized by low computational complexity. The article shows how the method can be used for modelling dynamic systems.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2008, 18, 3; 369-375
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Multisine Approximation of Multivariate Orthogonal Random Processes
Autorzy:
Figwer, J.
Powiązania:
https://bibliotekanauki.pl/articles/908295.pdf
Data publikacji:
1999
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
proces stochastyczny
procesy wielowymarowe
transformata Fouriera
simulation random processes
multivariate orthogonal random processes
simulated indentification
multisine random time-series
fast Fourier transform
Opis:
An approach to the synthesis and simulation of wide-sense stationary multivariate orthogonal random processes defined by their power spectral density matrices is presented. The approach is based on approximating the non-parametric power spectral density representation by the periodogram matrix of a multivariate orthogonal multisine random time-series. This periodogram matrix is used to construct the corresponding spectrum of the multivariate orthogonal multisine random time-series (synthesis). Application of the inverse finite discrete Fourier transform to this spectrum results in a multivariate orthogonal multisine random time-series with the predefined periodogram matrix (simulation). The properties of multivariate orthogonal multisine random process approximations obtained in this way are discussed. Attention is paid to asymptotic gaussianess.
Źródło:
International Journal of Applied Mathematics and Computer Science; 1999, 9, 2; 401-419
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An Application of the Fourier Transform to Optimization of Continuous 2-D Systems
Autorzy:
Dymkou, V.
Dymkov, M.
Powiązania:
https://bibliotekanauki.pl/articles/908254.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
informatyka
2D systems
optimization
entire functions
Fourier transform
approximation
Opis:
This paper uses the theory of entire functions to study the linear quadratic optimization problem for a class of continuous 2D systems. We show that in some cases optimal control can be given by an analytical formula. A simple method is also proposed to find an approximate solution with preassigned accuracy. Some application to the 1D optimization problem is presented, too. The obtained results form a theoretical background for the design problem of optimal controllers for relevant processes.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2003, 13, 1; 45-54
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-10 z 11

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