# American Institute of Mathematical Sciences

March  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

We present two new families of polynomial differential systems of arbitrary degree with centers, a two--parameter family and a four--parameter family.
Citation: Jaume Llibre, Claudia Valls. Centers for polynomial vector fields of arbitrary degree. Communications on Pure and Applied Analysis, 2009, 8 (2) : 725-742. doi: 10.3934/cpaa.2009.8.725
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