Hilbert's 16th Problem and bifurcations of Planar Polynomial Vector Fields

@article{Li2003Hilberts1P,
  title={Hilbert's 16th Problem and bifurcations of Planar Polynomial Vector Fields},
  author={Jibin Li},
  journal={I. J. Bifurcation and Chaos},
  year={2003},
  volume={13},
  pages={47-106}
}
The original Hilbert’s 16th problem can be split into four parts consisting of Problems A–D. In this paper, the progress of study on Hilbert’s 16th problem is presented, and the relationship between Hilbert’s 16th problem and bifurcations of planar vector fields is discussed. The material is presented in eight sections. Section 1: Introduction: what is Hilbert’s 16th problem? Section 2: The first part of Hilbert’s 16th problem. Section 3: The second part of Hilbert’s 16th problem: introduction… CONTINUE READING
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