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math.DS2007
On Center Sets of ODEs Determined by Moments of their Coefficients
Alexander Brudnyi
The classical H. Poincaré Center-Focus problem asks about the characterization of planar polynomial vector fields such that all their integral trajectories are closed curves whose…
math.DS2007
Formal Paths, Iterated Integrals and the Center Problem for Ordinary Differential Equations
Alexander Brudnyi
We continue the study of the center problem for the ordinary differential equation started in our earlier papers. In this paper we present t…