Liouvillian first integrals of quadratic-linear polynomial differential systems
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Valls, Clàudia 1973- (Instituto Superior Técnico (Lisboa). Departamento de Matemática)

Date:	2011
Abstract:	For a large class of quadratic-linear polynomial differential systems with a unique singular point at the origin having non-zero eigenvalues, we classify the ones which have a Liouvillian first integral, and we provide the explicit expression of them.
Grants:	Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Note:	Agraïments: The second author has been partially supported by FCT through CAMGSD, Lisbon.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Invariant algebraic curves ; Darboux polynomials ; Quadratic systems ; Quadratic vector fields ; Liouvillian integrability
Published in:	Journal of mathematical analysis and applications, Vol. 379 (2011) , p. 188-199, ISSN 1096-0813

DOI: 10.1016/j.jmaa.2010.12.033

Postprint 16 p, 625.7 KB

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