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

Rok, strany: 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.

ISO 690:

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

APA:

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

Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava

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