Phase portraits of the complex Abel polynomial differential systems

Jaume Llibre and Claudia Valls

Chaos, Solitons & Fractals, 2021, vol. 148, issue C

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.

Keywords: Complex Abel system; Poincaré compactification; Dynamics at infinity (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:148:y:2021:i:c:s0960077921004045

DOI: 10.1016/j.chaos.2021.111050

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