具有经典平面6次代数曲线的二次多项式微分系统的全局相图

Q4 Mathematics Tatra Mountains Mathematical Publications Pub Date : 2022-11-01 DOI:10.2478/tmmp-2022-0010

R. Benterki, Ahlam Belfar

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引用次数: 0

摘要

摘要本文的主要目标是对七个二次多项式微分系统的全局相图进行分类，将七条著名的六次代数曲线表现为不变代数曲线。我们证明了这些系统在庞加莱盘中有五个拓扑上不同的相位画像。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Global Phase Portraits of Quadratic Polynomial Differential Systems Having as Solution Some Classical Planar Algebraic Curves of Degree 6

Abstract The main goal of this paper is to classify the global phase portraits of seven quadratic polynomial differential systems, exhibiting as invariant algebraic curves seven well-known algebraic curves of degree six. We prove that these systems have five topologically different phase portraits in the Poincarédisc.

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来源期刊

Tatra Mountains Mathematical Publications Mathematics-Mathematics (all)

CiteScore

1.00

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0.00%

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