Algebraic invariant curves and first integrals for Riccati polynomial differential systems
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)

Date:	2014
Abstract:	We characterize the algebraic invariant curves for the Riccati polynomial differential systems of the form x' = 1, y' = a(x)y2 +b(x)y +c(x), where a(x), b(x) and c(x) are arbitrary polynomials. We also characterize their algebraic first integrals.
Grants:	Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Algebraic first integrals ; Algebraic invariant curves ; Riccati polynomial differential equations
Published in:	Proceedings of the American Mathematical Society, Vol. 142 Núm. 10 (2014) , p. 3533-3543, ISSN 1088-6826

DOI: 10.1090/S0002-9939-2014-12085-5

Postprint 10 p, 766.6 KB

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