Global phase portraits of quadratic polynomial differential systems having as solution some classical planar algebraic curves of degree 6

Year, pages: 2022, 129 - 144

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 Poincaré disc.

Benterki, R., Belfar, A. 2022. Global phase portraits of quadratic polynomial differential systems having as solution some classical planar algebraic curves of degree 6. In Tatra Mountains Mathematical Publications, vol. 81, no.1, pp. 129-144. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2022-0010

Benterki, R., Belfar, A. (2022). Global phase portraits of quadratic polynomial differential systems having as solution some classical planar algebraic curves of degree 6. Tatra Mountains Mathematical Publications, 81(1), 129-144. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2022-0010

Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava

https://creativecommons.org/licenses/by-nc-nd/4.0/