Family of quadratic differential systems with invariant parabolas: a complete classification in the space R12

N Vulpe - Electronic Journal of Qualitative Theory of Differential …, 2024 - ibn.idsi.md
Consider the class QS of all non-degenerate planar quadratic differential systems and its
subclass QSP of all its systems possessing an invariant parabola. This is an interesting …

Phase portraits of a class of cubic systems with an ellipse and a straight line as invariant algebraic curves

A Bakhshalizadeh, J Llibre - Differential Equations and Dynamical …, 2024 - Springer
In this paper we classify the phase portraits in the Poincaré disc of a class of cubic
polynomial differential systems having an invariant ellipse and an invariant straight line. We …

Geometric analysis of quadratic differential systems with invariant ellipses

MC Mota, AC Rezende, D Schlomiuk, N Vulpe - 2022 - projecteuclid.org
Consider the class QS of all non-degenerate planar quadratic differential systems and its
subclass QSE of all systems possessing an invariant ellipse. In this paper we classify the …