Polynomial and rational first integrals for planar quasi-homogeneous polynomial differential sytems - Search Results

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Polynomial and rational first integrals for planar quasi-homogeneous polynomial differential sytems / Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Grau, Maite (Universitat de Lleida. Departament de Matemàtica) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we find necessary and sufficient conditions in order that a planar quasi-homogeneous polynomial differential system has a polynomial or a rational first integral. We also prove that any planar quasi-homogeneous polynomial differential system can be transformed into a differential system of the form u˙ = uf(v), ˙v = g(v) with f(v) and g(v) polynomials, and vice versa.
2013 - DOI (Digital Object Identifier)

10.3934/dcds.2013.33.4531
Discrete and continuous dynamical systems. Series A, Vol. 33 Núm. 10 (2013) , p. 4531-4547

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