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On the Center Problem for Ordinary Differential Equations

Complex Variables 2007-05-23 v3

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.

Cite

@article{arxiv.math/0301339,
  title  = {On the Center Problem for Ordinary Differential Equations},
  author = {Alex Brudnyi},
  journal= {arXiv preprint arXiv:math/0301339},
  year   = {2007}
}

Comments

one more part is added