<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
<p>We prove that these systems have five topologically different phase portraits in the Poincarédisc.</p>
</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.

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

Tatra Mountains Mathematical Publications

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...

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

Published Online: Nov 29, 2022

Page range: 129 - 144

Received: Jun 08, 2022

DOI: https://doi.org/10.2478/tmmp-2022-0010

Keywords
quadratic differential system, Poincaré disc, invariant algebraic curve

© 2022 Rebiha Benterki et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Published Online: Nov 29, 2022

Page range: 129 - 144

Received: Jun 08, 2022

DOI: https://doi.org/10.2478/tmmp-2022-0010

Keywordsquadratic differential system, Poincaré disc, invariant algebraic curve

© 2022 Rebiha Benterki et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
quadratic differential system, Poincaré disc, invariant algebraic curve