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math.CA2024★ 2 cited
On Bureau's classification of quadratic differential equations in two variables free of movable critical points
Adolfo Guillot
As part of the efforts aimed at extending Painlevé and Gambier's work on second-order equations in one variable to first-order ones in two, in 1981, Bureau classified the systems o…
math.CA2018★ 4 cited
Quadratic Differential Equations in Three Variables without Multivalued Solutions: Part I
Adolfo Guillot
For ordinary differential equations in the complex domain, a central problem is to understand, in a given equation or class of equations, those whose solutions do not present multi…