Journal of Generalized Lie Theory and Applications

ISSN: 1736-4337

Open Access

An algebraic approach to the center problem for ODEs 1


Alexander BRUDNYI

The classical Poincar´e Center-Focus problem asks about the characterization of planar polynomial vector fields such that all their integral trajectories are closed curves whose interiors contain a fixed point, a center. This problem is reduced to a center problem for certain ODE . We present an algebraic approach to the center problem based on the study of the group of paths determined by the coefficients of the ODE.


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