Results 11 to 20 of about 53,514 (278)

Cubic nonlinear differential system, their periodic solutions and bifurcation analysis

open access: yesAIMS Mathematics, 2021
In this article, periodic solutions from a fine focus $ U = 0 $, are accomplished for several classes. Some classes have polynomial coefficients, while the remaining classes $ C_{14, 7} $, $ C_{16, 8} $ and $ C_{5, 5}, $ $ C_{6, 6} $ have non-homogeneous
Saima Akram, Allah Nawaz , Mariam Rehman
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New exact solutions for the two-dimensional Broadwell system [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2022
In this paper, we consider the discrete kinetic Broadwell system. This system is a nonlinear hyperbolic system of partial differential equations. The two-dimensional Broadwell system is the kinetic Boltzmann equation, and for this model momentum and ...
Dukhnovsky, Sergey A.
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Symbolic Methods for Analysing Bifurcations and Chaos of Two Five-Parameter Families of Planar Quadratic Maps

open access: yesScience Journal of University of Zakho, 2020
In this work, we analyze the dynamical behaviors of two five-parameter families of planar quadratic maps by utilizing strategies of symbolic computation.
Sarbast H. Mikaeel, Bewar H. Othman
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Equivalence of the schemes of programs based on the algebraic approach to setting the semantics of programming languages

open access: yesРоссийский технологический журнал, 2022
Objectives. The paper deals with the equivalence of program schemes. According to A.A. Lyapunov and Yu.I. Yanov, the founders of this theory, a program scheme is understood as a program model wherein abstraction from contensive values of operators and ...
Y. P. Korablin
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Symbolic iteration method based on computer algebra analysis for Kepler’s equation

open access: yesScientific Reports, 2022
The Kepler’s equation of elliptic orbits is one of the most significant fundamental physical equations in Satellite Geodesy. This paper demonstrates symbolic iteration method based on computer algebra analysis (SICAA) to solve the Kepler’s equation.
Ruichen Zhang, Shaofeng Bian, Houpu Li
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Recursive Elimination Method in Moving Horizon Estimation for a Class of Nonlinear Systems and Non-Gaussian Noise

open access: yesSICE Journal of Control, Measurement, and System Integration, 2020
This paper proposes a recursive elimination method for optimal filtering problems of a class of discrete-time nonlinear systems with non-Gaussian noise. By this method, most of the computations to solve an optimal filtering problem can be carried out off-
Tomoyuki Iori, Toshiyuki Ohtsuka
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New Specific and General Linearization Formulas of Some Classes of Jacobi Polynomials

open access: yesMathematics, 2020
The main purpose of the current article is to develop new specific and general linearization formulas of some classes of Jacobi polynomials. The basic idea behind the derivation of these formulas is based on reducing the linearization coefficients which ...
Waleed Mohamed Abd-Elhameed, Afnan Ali
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Mixed algorithm for solving boundary value problem

open access: yesComputer Assisted Methods in Engineering and Science, 2023
Symbolic computation has been applied to Runge-Kutta technique in order to solve two-point boundary value problem. The unknown initial values are considered as symbolic variables, therefore they will appear in a system of algebraic equations, after the ...
Béla Paláncz, György Popper
doaj  

Automatic Deduction in Dynamic Geometry using Sage [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2012
We present a symbolic tool that provides robust algebraic methods to handle automatic deduction tasks for a dynamic geometry construction. The main prototype has been developed as two different worksheets for the open source computer algebra system Sage,
Francisco Botana, Miguel A. Abánades
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