Planar real polynomial differential systems of degree n>3 having a weak focus of high order
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Rabanal, Roland (The Abdus Salam International Centre for Theoretical Physics (Italy))

Date:	2012
Abstract:	We construct planar polynomial differential systems of even (respectively odd) degree n > 3, of the form linear plus a nonlinear homogeneous part of degree n having a weak focus of order n2 − 1 (respectively n2−1/2) at the origin. As far as we know this provides the highest order known until now for a weak focus of a polynomial differential system of arbitrary degree n.
Grants:	Ministerio de Ciencia y Tecnología 2005-06098-c02-01 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-550
Note:	Agraïments: the second author is partially supported by CAPES (Brazil) with grant BEX: 2256/05-3
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Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Center ; Weak focus ; Polynomial vector fields
Published in:	The Rocky Mountain Journal of Mathematics, Vol. 42 Núm. 2 (2012) , p. 657-693, ISSN 0035-7596

DOI: 10.1216/RMJ-2012-42-2-657

Postprint 25 p, 507.7 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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