Rigid polynomial differential systems with quartic homogeneous nonlinearities

Yingtao Li and Jaume Llibre

Chaos, Solitons & Fractals, 2025, vol. 199, issue P2

Abstract: In this paper we classify the global phase portraits in the Poincaré disc of all rigid polynomial differential systems with quartic homogeneous nonlinearities. We show that these systems exhibit thirteen distinct topological phase portraits in the Poincaré disc, revealing some complex and interesting dynamical phenomena.

Keywords: Quartic polynomial differential system; Rigid differential system; Global phase portrait; Poincaré disc (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:199:y:2025:i:p2:s0960077925008173

DOI: 10.1016/j.chaos.2025.116804

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