Results 271 to 280 of about 572,208 (300)

Squarefree values of polynomial discriminants II

Forum of Mathematics, Pi, 2022
We determine the density of integral binary forms of given degree that have squarefree discriminant, proving for the first time that the lower density is positive. Furthermore, we determine the density of integral binary forms that cut out maximal orders
M. Bhargava, A. Shankar, Xiaoheng Wang
semanticscholar   +1 more source

3D polynomial dynamical systems with elementary first integrals

Journal of Physics A: Mathematical and Theoretical, 2010
Here we present a semi-algorithm to find elementary first integrals of 3D polynomial dynamical systems. It is a Darboux type procedure that extends the method built by Prelle and Singer for 2D systems. Although it cannot deal with the general case, the method presents a direct/simple way to find elementary first integrals.
L G S Duarte, L A C P da Mota
openaire   +1 more source

A New Computational Method for Solving Weakly Singular Fredholm Integral Equations of the First Kind

International Conference on Communication and Electronics Systems, 2018
A new computational technique is given for the numerical solution of Fredholm integral equation of the first kind with a singular density function and a weakly singular logarithmic kernel.
E. Shoukralla, M. Kamel, M. Markos
semanticscholar   +1 more source

Darboux polynomials and rational first integrals of the nonstretching Rolie–Poly model

Applied Mathematics Letters, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiankun Wu, Feng Xie
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Polynomial and non-polynomial first integrals of projective structures and geodesic flows

Journal of Geometry and Physics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maria V. Demina, Anna R. Ishchenko
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Polynomial first integrals of Hamiltonian systems with exponential interaction

Functional Analysis and Its Applications, 1991
Consider a Hamiltonian of the form \[ H=T+V,\qquad T={1\over 2}\sum^ n_{i,j=1}a_{i,j}y_ iy_ j,\qquad V=\sum_{m\in Z^ n}v_ m\exp(m,x) \] where \((a_{i,j})\) is a nondegenerate constant matrix \(v_ m=\text{const}\), \(x=(x_ 1,\dots,x_ n)\) and \(y=(y_ 1,\dots,y_ n)\) are conjugate canonical variables.
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Polynomial Vector Fields with Given Partial and First Integrals

2016
The solutions of the inverse problem in ordinary differential equations have a very high degree of arbitrariness because of the unknown functions involved. To reduce this arbitrariness we need additional conditions. In this chapter we are mainly interested in the planar polynomial differential systems which have a given set of invariant algebraic ...
Jaume Llibre, Rafael Ramírez
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Polynomial and Rational First Integrals for Non–Autonomous Polynomial Hamiltonian Systems

Dynamic Systems and Applications, 2020
Azucena Caicedo, Jaume Llibre, Claudio Vidal   +2 more
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Subclasses of Bi-Univalent Functions Connected with Integral Operator Based upon Lucas Polynomial

Symmetry, 2022
Alb Lupas Daciana Alina, Sheza M El-Deeb
exaly  

GEODESIC FLOWS ON TWO-DIMENSIONAL MANIFOLDS WITH AN ADDITIONAL FIRST INTEGRAL THAT IS POLYNOMIAL IN THE VELOCITIES

, 1983
V. Kolokoltsov
semanticscholar   +1 more source