Home > Articles > Published articles > On the analytic integrability of the Liénard analytic differential systems |
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 |
Postprint 17 p, 333.9 KB |