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Darboux integrability for polynomial vector fields invariant under action of finite group
(Qualitative Theory of Dynamical Systems, 2018)
On the computation of Darboux first integrals of a class of planar polynomial vector fields
We study the class of planar polynomial vector fields admitting Darboux first integrals of the type ∏i=1 rfi αi, where the αi's are positive real numbers and the fi's are polynomials defining curves with only one place at ...
Dynamical and algebraic analysis of planar polynomial vector fields linked to orthogonal polynomials
(Southwest Jiaotong University, 2020-08)
In the present work, our goal is to establish a study of some families of quadratic polynomial vector fields connected to orthogonal polynomials that relate, via two different points of view, the qualitative and the algebraic ...
Fator integrante inverso e suas aplicações
(Universidade Estadual Paulista (Unesp), 2021-03-15)
Este trabalho é dedicado ao estudo do fator integrante inverso de sistemas diferenciais planares. O fator integrante inverso está principalmente relacionado à solução do problema de integrabilidade de campo de vetores ...
Darboux–Jouanolou–Ghys integrability for one-dimensional foliations on toric varieties
(Bulletin des Sciences Mathématiques, 2018)
On the integrability and the zero-Hopf bifurcation of a Chen-Wang differential system
(SpringerDordrecht, 2015-04)
The first objective of this paper was to study the Darboux integrability of the polynomial differential system
'X PONTO' = y, 'Y PONTO' = z, 'Z PONTO' = −y − 'X POT.2' − xz + 3'Y POT.2' + a,
and the second one is to ...
Integrability and Dynamics of Quadratic Three-Dimensional Differential Systems Having an Invariant Paraboloid
(2016-07-01)
Invariant algebraic surfaces are commonly observed in differential systems arising in mathematical modeling of natural phenomena. In this paper, we study the integrability and dynamics of quadratic polynomial differential ...
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)
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)
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, ...