2000 character limit reached
The cubic Darboux systems with a non-elementary singular point at the Poincaré equator
Published 19 Jun 2023 in math.DS | (2306.10706v1)
Abstract: We study the global behavior of the trajectories of the polynomial system $\dot x = x - x2 y+p x y2+ y3, \ \dot y=y+p y3 , \ \ p\in \mathbb{R}$. Our study is related to the paper {\it Alarcon B., Castro S.B.S.D., Labouriau I.S.} Glodal planar dynamics with star nodes: beyond Hilbert's 16th problem//arXiv:2106/07516v2 [math.DS].
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.