On the Darboux integrability of the polynomial differential systems
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Zhang, Xiang (Shanghai Jiaotong University. Department of Mathematics)

Date:	2012
Abstract:	This is a survey on recent results on the Darboux integrability of polynomial vector fields in Rn or Cn with n ≥ 2. We also provide an open question and some applications based on the existence of such first integrals.
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 is partially supported by NNSF of China grant 10831003 and Shanghai Pujiang Programm 09PJD013.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Polynomial differential systems ; Polynomial vector fields ; Darboux integrability
Published in:	Qualitative theory of dynamical systems, Vol. 11 (2012) , p. 129-144, ISSN 1662-3592

DOI: 10.1007/s12346-011-0053-x

Postprint 14 p, 764.6 KB

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