Results 21 to 30 of about 1,849,805 (333)
Computing difference abstractions of linear equation systems [PDF]
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Allart, Emilie +2 more
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On the discrete and continuous Miura Chain associated with the Sixth Painlevé Equation [PDF]
A Miura chain is a (closed) sequence of differential (or difference) equations that are related by Miura or B\"acklund transformations. We describe such a chain for the sixth Painlev\'e equation (\pvi), containing, apart from \pvi itself, a Schwarzian ...
Ablowitz +25 more
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DIFFERENCE EQUATION OF LORENZ SYSTEM [PDF]
This paper uses difference equation to explore some of the more obvious properties of the Lorenz equation. We will investigate changes in the behavior of solutions of the Lorenz equation as the parameter r is varied. A trajectory in phase space is analyzed when iterative equation is magnified.
J. Liang, W. Song
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Characterization of P-Semi Homogenous System of Difference Equations
The primary aim of this paper is to define new concepts, A homogenous system of difference equations is called -semi homogenous of order if there exists a non-zero matrix
Abdul Samad Ibrahim Hussein +1 more
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On the Periodic Solutions of Some Systems of Difference Equations
In this paper, we study the solution of the systems of difference equations \begin{equation*} x_{n+1}=\frac{1\pm (y_{n}+x_{n-1})}{y_{n-2}},\ \ \ y_{n+1}=\frac{1\pm (x_{n}+y_{n-1})}{x_{n-2}},\;\;n=0,1,..., \end{equation*}% {\Large \noindent }where the ...
E. M. Elsayed, H. S. Gafel
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Dynamics of a rational system of difference equations in the plane [PDF]
We consider a rational system of first order difference equations in the plane with four parameters such that all fractions have a common denominator. We study, for the different values of the parameters, the global and local properties of the system. In
Bajo, Ignacio +2 more
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Systems of Algebraic Mixed Difference Equations [PDF]
In his algebraic theory of differential equations, J. F. Rittt has developed a decomposition theory for systems of algebraic differential equations by introducing the idea of irreducible systems and proving that every system is equivalent to one and essentially only one finite set of irreducible systems.
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Connection coefficients for basic Harish-Chandra series [PDF]
Basic Harish-Chandra series are asymptotically free meromorphic solutions of the system of basic hypergeometric difference equations associated to root systems.
Askey +62 more
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SU(N) Matrix Difference Equations and a Nested Bethe Ansatz [PDF]
A system of SU(N)-matrix difference equations is solved by means of a nested version of a generalized Bethe Ansatz, also called "off shell" Bethe Ansatz. The highest weight property of the solutions is proved.
Babujian, H., Karowski, M., Zapletal, A.
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Solution for Rational Systems of Difference Equations of Order Three
In this paper, we consider the solution and periodicity of the following systems of difference equations: x n + 1 = y n − 2 − 1 + y n − 2 x n − 1 y n , y n + 1 = x n − 2 ± 1 ± x n − 2 y n − 1 x n
Mohamed M. El-Dessoky
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