Research Communication | Open Access
Volume 2021 | Communication ID 303
The qualitative dynamics of some classes of quadratic polynomial differential systems exhibiting classical algebraic curves
Rebiha Benterki
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
February 10, 2021
February 15, 2021
March 15, 2021

Abstract: This article is devoted to classify the dynamics of three quadratic differential systems exhibiting three known different invariant algebraic curves, by analysing its phase portraits in the Poincaré disc. We realize that these systems produce more than 20 topologically different phase portraits