Global Phase Portraits of Quadratic Polynomial Differential Systems Having as Solution Some Classical Planar Algebraic Curves of Degree 6
y | 29 nov 2022
Tatra Mountains Mathematical Publications
Real Functions, Dynamical Systems and Applications
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Publicado en línea: 29 nov 2022
Páginas: 129 - 144
Recibido: 08 jun 2022
DOI: https://doi.org/10.2478/tmmp-2022-0010
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© 2022 Rebiha Benterki et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
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.