Global Phase Portraits of Quadratic Polynomial Differential Systems Having as Solution Some Classical Planar Algebraic Curves of Degree 6
By: Rebiha Benterki and Ahlam Belfar
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.
Language: English
Page range: 129 - 144
Submitted on: Jun 8, 2022
Published on: Nov 29, 2022
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year
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© 2022 Rebiha Benterki, Ahlam Belfar, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.