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 …

In this article we make a full study of the class of non-degenerate real planar quadratic
differential systems having all points at infinity (in the Poincaré compactification) as …

In this article, we study the Lotka–Volterra planar quadratic differential systems. We denote
by LV systems all systems which can be brought to a Lotka–Volterra system by an affine …

The Lotka-Volterra planar quadratic differential systems have numerous applications but the
global study of this class proved to be a challenge difficult to handle. Indeed, the four …

In this article we consider the class QSL4 of all real quadratic differential systems dx dt= p (x,
y), dy dt= q (x, y) with gcd (p, q)= 1, having invariant lines of total multiplicity four and a finite …

In this article, we study the planar cubic differential systems with invariant affine straight lines
of total parallel multiplicity seven. We classify these system according to their geometric …

In this article we prove a classification theorem (Main Theorem) of real planar cubic vector
fields which possess four distinct infinite singularities and eight invariant straight lines …

This article is about weak singularities of quadratic differential systems, that is, non-
degenerate singular points with traces of the corresponding linearized systems at such …

During the last forty years the theory of integrability of Darboux, in terms of algebraic
invariant curves of polynomial systems has been very much extended and it is now an active …

In this article we classify a subfamily of differential real cubic systems possessing eight
invariant straight lines, including the line at infinity and including their multiplicities. This …