Global Phase Portraits of Kukles Polynomial Differential Systems with Homogenous Polynomial Nonlinearities of Degree 5 Having a Center

نویسندگان

  • JAUME LLIBRE
  • FRONZA DA SILVA
  • Jaume Llibre
  • Mauricio Fronza da Silva
  • M. F. DA SILVA
چکیده

We provide the 22 different global phase portraits in the Poincaré disk of all centers of the so called Kukles polynomial differential systems of the form ẋ = −y, ẏ = x + Q5(x, y), where Q5 is a real homogeneous polynomial of degree 5 defined in R.

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تاریخ انتشار 2016