Home > Articles > Published articles > Algebraic invariant curves and first integrals for Riccati polynomial differential systems |
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 |
Postprint 10 p, 766.6 KB |