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On the Center Problem for Ordinary Differential Equations

Alex Brudnyi
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Abstract

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.

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Alex Brudnyi. 2003-11-17. On the Center Problem for Ordinary Differential Equations. https://arxiv.org/abs/math/0301339

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