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Listar Artículos Científicos WOS y SCOPUS por autor "Llibre, Jaume"
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On the Polynomial Solutions of the Polynomial Differential Equations y y ' = a(0)(x) plus a(1)(x) y plus a(2)(x) y(2) + horizontal ellipsis plus a(n)(x) y(n)
Ferragut, Antoni ; Llibre, Jaume (Indian Journal of Pure & Applied Mathematics, 03/2020)In this paper we deal with differential equations of the form yy ' = P(x, y) where y ' = dy/dx and P(x, y) is a polynomial in the variables x and y of degree n in the variable y. We provide an upper bound for the number ... -
Quadratic planar differential systems with algebraic limit cycles via quadratic plane Cremona maps
Alberich-Carramiñana, Maria; Ferragut, Antoni ; Llibre, Jaume (Academic Press Inc., 2021)In this paper we study the action of planar birational transformations, also known as plane Cremona maps, on quadratic planar differential systems. We provide geometrical characterizations of when a quadratic system is ...