Centers for polynomial vector fields of arbitrary degree

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2009, 8(2): 725-742. doi: 10.3934/cpaa.2009.8.725

Centers for polynomial vector fields of arbitrary degree

1.	Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia
2.	Departamento de Matemática, Instituto Superior Técnico, 1049-001 Lisboa

Received January 2008 Revised August 2008 Published December 2008

Abstract
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We present two new families of polynomial differential systems of arbitrary degree with centers, a two--parameter family and a four--parameter family.

Keywords: polynomial vector fields, arbitrary degree, Centers.

Mathematics Subject Classification: Primary: 34C05; Secondary: 58F14.

Citation: Jaume Llibre, Claudia Valls. Centers for polynomial vector fields of arbitrary degree. Communications on Pure & Applied Analysis, 2009, 8 (2) : 725-742. doi: 10.3934/cpaa.2009.8.725

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