Centers: their integrability and relations with the divergence
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2016
Abstract:	This is a brief survey on the centers of the analytic differential systems in R^2. First we consider the kind of integrability of the different types of centers, and after we analyze the focus--center problem, i. e. how to distinguish a center from a focus. This is a difficult problem which is not completely solved. We shall present some recent results using the divergence of the differential system.
Grants:	Ministerio de Economía y Competitividad MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 European Commission 316338 European Commission 316339
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Center problem ; Divergence ; Integrability ; Poincaré-Liapunov constants
Published in:	Applied Mathematics and Nonlinear Sciences, Vol. 1 Núm. 1 (2016) , p. 79-86, ISSN 2444-8656

DOI: 10.21042/AMNS.2016.1.00007

Postprint 11 p, 598.6 KB

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