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

Date:	2015
Abstract:	We study the existence and non-existence of Liouvillian first integrals for the generalized Riccati polynomial differential systems of the form x'=y, y'= a(x)y^2 b(x)y c(x), where a(x), b(x) and c(x) are polynomials.
Grants:	Ministerio de Ciencia e Innovación 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 invariant curves ; Liouvillian first integrals ; Riccati polynomial differential equations
Published in:	Advanced Nonlinear Studies, Vol. 15 (2015) , p. 951-961, ISSN 2169-0375

DOI: 10.1515/ans-2015-0411

Postprint 9 p, 736.5 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
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