On the analytic integrability of the Liénard analytic differential systems
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)

Date:	2016
Abstract:	We consider the Liénard analytic differential systems x = y, y =-g(x) -f(x)y, where f,g: R R are analytic functions and the origin is an isolated singular point. Then for such systems we characterize the existence of local analytic first integrals in a neighborhood of the origin and the existence of global analytic first integrals.
Grants:	Ministerio de Economía y Competitividad MTM2013-40998-P Ministerio de Economía y Competitividad UNAB13-4E-1604 Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 European Commission 316338 European Commission 316339
Note:	Agraïments: The second author is supported by Portuguese National Funds through FCT - Fundaçâo para a Ciência e a Tecnologia trough UID/MAT/04459/20
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Analytic integrability ; Formal integrability ; Liénard system
Published in:	Discrete and continuous dynamical systems. Series B, Vol. 21 Núm. 2 (2016) , p. 557-573, ISSN 1553-524X

DOI: 10.3934/dcdsb.2016.21.557

Postprint 17 p, 333.9 KB

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