Home > Articles > Published articles > Rational parameterizations approach for solving equations in some dynamical systems problems |
Date: | 2019 |
Abstract: | We show how the use of rational parameterizations facilitates the study of the number of solutions of many systems of equations involving polynomials and square roots of polynomials. We illustrate the effectiveness of this approach, applying it to several problems appearing in the study of some dynamical systems. Our examples include Abelian integrals, Melnikov functions and a couple of questions in Celestial Mechanics: the computation of some relative equilibria and the study of some central configurations. |
Grants: | Ministerio de Economía y Competitividad MTM2015-65715-P Ministerio de Economía y Competitividad MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1049 Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Subject: | Bifurcation ; Resultant ; Rational parameterization ; Abelian integral ; Poincaré-Melnikov-Pontryagin function ; Relative equilibria ; Central configuration |
Published in: | Qualitative theory of dynamical systems, Vol. 18, Issue 2 (August 2019) , p. 583-602, ISSN 1662-3592 |
Postprint 16 p, 431.6 KB |