Centers for polynomial vector fields of arbitrary degree

Jaume Llibre; Claudia Valls

doi:10.3934/cpaa.2009.8.725

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2009, Volume 8, Issue 2: 725-742. Doi: 10.3934/cpaa.2009.8.725

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Centers for polynomial vector fields of arbitrary degree

Jaume Llibre^1, and
Claudia Valls^2,

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

Received: December 31, 2007

Revised: July 31, 2008

Published: February 2009

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Abstract

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

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

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