Local Darboux first integrals of analytic differential systems
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Walcher, Sebastian (RWTH Aachen(Germany). Lehrstuhl A fur Mathematik)
Zhang, Xiang (Shanghai Jiaotong University. Department of Mathematics)

Date:	2014
Abstract:	In this paper we discuss local and formal Darboux first integrals of analytic differential systems, using the theory of Poincaré Dulac normal forms. We study the effect of local Darboux integrability on analytic normalization. Moreover we determine local restrictions on classical Darboux integrability of polynomial systems.
Grants:	Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Note:	Agraïments: The third author is partially supported by NNSF of China grant number 10831003 and RFDP of Higher Education of China.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Analytic differential system ; Darboux first integral ; Poincaré-Dulac normal form ; Polynomial differential systems
Published in:	Bulletin des Sciences Mathematiques, Vol. 138 (2014) , p. 71-88, ISSN 0007-4497

DOI: 10.1016/j.bulsci.2013.09.007

Postprint 14 p, 337.6 KB

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