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Listar Artículos Científicos WOS y SCOPUS por autor "Ferragut, Antoni"
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Meromorphic first integrals of analytic diffeomorphisms
Ferragut, Antoni; Gasull, Armengol; Zhang, Xiang (Journal of Mathematical Analysis and Applications, 2023)We give an upper bound for the number of functionally independent meromorphic first integrals that a discrete dynamical system generated by an analytic map f can have in a neighborhood of one of its fixed points. This bound ... -
On the computation of Darboux first integrals of a class of planar polynomial vector fields
Ferragut, Antoni ; Galindo, Carlos; Monserrat, Francisco (Journal of Mathematical Analysis and Applications, 15/10/2019)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 ... -
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 ...