Algebraic and qualitative aspects of quadratic vector fields related with classical orthogonal polynomials
arXiv:1906.09764
Abstract
This paper is a sequel of the reference \cite[§4.2, p.p. 1782--1783]{almp}, in where some families of quadratic polynomial vector fields related with orthogonal polynomials were studied. We extend such results that contain some details related with differential Galois Theory as well the inclusion of Darboux theory of integrability and qualitative theory of dynamical systems.
21 pages, 3 figures