On the Center Problem for degenerate Singular Points of Planar Vector Fields

@article{Maosa2002OnTC,
  title={On the Center Problem for degenerate Singular Points of Planar Vector Fields},
  author={V{\'i}ctor Ma{\~n}osa},
  journal={I. J. Bifurcation and Chaos},
  year={2002},
  volume={12},
  pages={687-707}
}
The center problem for degenerate singular points of planar systems (the degenerate-center problem) is a poorly-understood problem in the qualitative theory of ordinary differential equations. It may be broken down into two problems: the monodromy problem, to decide if the singular point is of focus-center type, and the stability problem, to decide whether it is a focus or a center. We present an outline on the status of the center problem for degenerate singular points, explaining the main… CONTINUE READING

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