Invariant curves and integrability of planar Cr differential systems
Ferragut Amengual, Antoni Manel (Universitat Jaume I. Institut Universitari de Matemàtiques i Aplicacions de Castelló)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2018
Abstract:	We improve the known expressions of the Cr differential systems in the plane having a given Cr+1 invariant curve, or a given Cr+1 first integral. Their application to polynomial differential systems having either an invariant algebraic curve, or a first integral, also improves the known results on such systems.
Grants:	Ministerio de Economía y Competitividad MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 European Commission 318999 European Commission 316338
Note:	Altres ajuts: Universitat Jaume I grant No. P1-1B2015-16
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Planar differential system ; Cr function ; Invariant curve ; Exponential factor ; Cofactor ; Darboux theory of integrability
Published in:	The Rocky Mountain Journal of Mathematics, Vol. 48, Issue 5 (2018) , p. 1537-1550, ISSN 0035-7596

DOI: 10.1216/RMJ-2018-48-5-1537

Postprint 8 p, 319.1 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
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