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Polynomial Differential Systems in R3 Having Invariant Weighted Homogeneous Surfaces
(2018-03-01)
In this paper we give the normal form of all polynomial differential systems in R3 having a weighted homogeneous surface f= 0 as an invariant algebraic surface and characterize among these systems those having a Darboux ...
Equações de Pfaff e a não existência de soluções algébricas
(Universidade Federal de Juiz de Fora (UFJF)BrasilICE – Instituto de Ciências ExatasMestrado Acadêmico em MatemáticaUFJF, 2017)
Darboux-Egoroff metrics, rational Landau-Ginzburg potentials and the Painleve VI equation
(Iop Publishing Ltd, 2003-01-31)
We present a class of three-dimensional integrable structures associated with the Darboux-Egoroff metric and classical Euler equations of free rotations of a rigid body. They are obtained as canonical structures of rational ...
Darboux-Egoroff metrics, rational Landau-Ginzburg potentials and the Painleve VI equation
(Iop Publishing Ltd, 2003-01-31)
We present a class of three-dimensional integrable structures associated with the Darboux-Egoroff metric and classical Euler equations of free rotations of a rigid body. They are obtained as canonical structures of rational ...
Aplicación del método de darboux en el análisis de integralidad de un sistema diferencial de tipo lotka-volterra
(Universidad Tecnológica de PereiraFacultad de Ciencias BásicasPereiraMaestría en Matemática, 2022)
Integrabilidade e dinâmica global de sistema diferenciais polinomiais definidos em R³ com superfícies algébricas invariantes de graus 1 e 2
(Universidade Estadual Paulista (Unesp), 2017-07-05)
Neste trabalho, consideramos aspectos algébricos e dinâmicos de alguns problemas envolvendo superfícies algébricas invariantes em sistemas diferenciais polinomiais definidos em R³. Determinamos o número máximo de planos ...
Darboux-Egoroff metrics, rational Landau-Ginzburg potentials and the Painleve VI equation
(Iop Publishing Ltd, 2014)
Path integral approach for superintegrable potentials on spaces of nonconstant curvature: I. Darboux spaces D I and D II
(2007)
In this paper, the Feynman path integral technique is applied for superintegrable potentials on two-dimensional spaces of nonconstant curvature: these spaces are Darboux spaces D I and D II. On D I, there are three, and ...
Path integral approach for superintegrable potentials on spaces of non-constant curvature: II. Darboux spaces DIII and DIV
(2007)
This is the second paper on the path integral approach of superintegrable systems on Darboux spaces, spaces of non-constant curvature. We analyze five and four superintegrable potentials in the spaces D III and D IV, ...
Path integral approach for superintegrable potentials on spaces of non-constant curvature: II. Darboux spaces DIII and DIV
(2007)
This is the second paper on the path integral approach of superintegrable systems on Darboux spaces, spaces of non-constant curvature. We analyze five and four superintegrable potentials in the spaces D III and D IV, ...