In this book we consider planar polynomial differential systems, ie systems of the form dx dt=
p (x, y), dy dt= q (x, y) where p (x, y), q (x, y) are polynomials in x, y with real coefficients. To …

Planar quadratic differential systems occur in many areas of applied mathematics. Although
more than one thousand papers have been written on these systems, a complete …

This paper presents a global study of the class Q sn SN 1 1 of all real quadratic polynomial
differential systems which have a finite semi-elemental saddle-node and an infinite saddle …

This paper deals with planar piecewise linear refracting systems with a straight line of
separation. Using the Poincaré compactification, we provide the classification of the phase …

The goal of this paper is to contribute to the classification of the phase portraits of planar
quadratic differential systems according to their structural stability. Artés et al.(Mem Am Math …

This paper is part of a series of works whose ultimate goal is the complete classification of
phase portraits of quadratic differential systems in the plane modulo limit cycles. It is …

In 1998, Artés, Kooij and Llibre proved that there exist 44 structurally stable topologically
distinct phase portraits modulo limit cycles, and in 2018 Artés, Llibre and Rezende showed …

Our goal is to make a global study of the class Q sn SN 1 1 of all real quadratic polynomial
differential systems which have a finite semi-elemental saddle-node and an infinite saddle …

Any singular irreducible cubic curve (or simply, cubic) after an affine transformation can be
written as either y 2= x 3, or y 2= x 2 (x+ 1), or y 2= x 2 (x− 1). We classify the phase portraits …

This paper presents a global study of the class QES ̂ of all real quadratic polynomial
differential systems possessing exactly one elemental infinite singular point and one triple …