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