On the Center Problem for Ordinary Differential Equations

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The classical Center-Focus problem posed by H. Poincare in 1880's asks about the classification of planar polynomial vector fields such that all their integral trajectories are closed curves whose interiors contain a fixed point (which is called a center). In this paper we describe a new general approach to the Center Problem.
one more part is added

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Complex Variables, 34C07; 32E20; 58K10

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http://salesiana.dossiersoluciones.com/handle/123456789/66381

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0301339
 http://arxiv.org/abs/math/0301339

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arXiv