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Polynomial Hamiltonian systems of degree 3 with symmetric nilpotent centers

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  • Dias, Fabio Scalco
  • Llibre, Jaume
  • Valls, Claudia

Abstract

We provide normal forms and the global phase portraits in the Poincaré disk for all Hamiltonian planar polynomial vector fields of degree 3 symmetric with respect to the x-axis having a nilpotent center at the origin.

Suggested Citation

  • Dias, Fabio Scalco & Llibre, Jaume & Valls, Claudia, 2018. "Polynomial Hamiltonian systems of degree 3 with symmetric nilpotent centers," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 144(C), pages 60-77.
    • Handle: RePEc:eee:matcom:v:144:y:2018:i:c:p:60-77
    DOI: 10.1016/j.matcom.2017.06.002
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    References listed on IDEAS

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    1. Llibre, Jaume & Pantazi, Chara, 2016. "Limit cycles bifurcating from a degenerate center," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 120(C), pages 1-11.
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