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Phase portraits of the complex Abel polynomial differential systems

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  • Llibre, Jaume
  • Valls, Claudia

Abstract

In this paper we characterize the phase portraits of the complex Abel polynomial differential equationsz˙=(z−a)(z−b)(z−c),with z∈C, a,b,c∈C. We give the complete description of their topological phase portraits in the Poincaré disc, i.e. in the compactification of R2 adding the circle S1 of the infinity.

Suggested Citation

  • Llibre, Jaume & Valls, Claudia, 2021. "Phase portraits of the complex Abel polynomial differential systems," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    • Handle: RePEc:eee:chsofr:v:148:y:2021:i:c:s0960077921004045
    DOI: 10.1016/j.chaos.2021.111050
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    References listed on IDEAS

    as
    1. Liu, Changjian & Li, Chunhui & Wang, Xishun & Wu, Junqiao, 2018. "On the rational limit cycles of Abel equations," Chaos, Solitons & Fractals, Elsevier, vol. 110(C), pages 28-32.
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