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Title:	Cyclicity versus center problem
Author:	Gasull i Embid, Armengol; Giné, Jaume
Notes:	We prove that there are one-parameter families of planar differential equations for which the center problem has a trivial solution and on the other hand the cyclicity of the weak focus is arbitrarily high. We illustrate this phenomenon in several examples for which this cyclicity is computed.
Subject(s):	-Polynomial differential system -Focal quantities -Lyapunov constants -Cyclicity -Polinomis
Rights:	(c) Springer, 2010
Document type:	article submittedVersion
Published by:	Springer
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