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

Date:	2016
Abstract:	We study the existence of Liouvillian first integrals for the generalized Liénard polynomial differential systems of the form x' = y, y' =-g(x)-f(x)y, where f(x) = 3Q(x)Q'(x)P(x) + Q(x) P'(x) and g(x) = Q(x)Q'(x)(Q(x) P(x)-1) with P,Q [x]. This class of generalized Liénard polynomial differential systems has the invariant algebraic curve (y + Q(x)P(x))-Q(x) = 0 of hyperelliptic type.
Grants:	Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 European Commission 316338 European Commission 318999
Note:	Altres ajuts: ICREA Academia, FEDER-UNAB10-4E378 and PTDC/MAT/117106/2010
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Darboux polynomial ; Invariant algebraic curve ; Exponential factor ; Liouvillian first integral ; Liénard polynomial differential system
Published in:	Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Vol. 146, Issue 6 (December 2016) , p. 1195-1210, ISSN 1473-7124

DOI: 10.1017/S0308210515000906

Postprint 14 p, 712.2 KB

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