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 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 …

We classify all cubic systems possessing exactly six real invariant straight lines along three
directions taking into account their degree of invariance. We prove that there are 6 affine …

In this work the estimation 3n-2<= Ma (n)<= 3n-1 of maximal algebraic multiplicity Ma (n) of
an invariant straight line is obtained for two-dimensional polynomial dierential systems of …

Center problem for cubic differential systems with the line at infinity of multiplicity four Page
1 CARPATHIAN J. MATH. Volume 38 (2022), No. 1, Pages 217 - 222 Online version at https://www.carpathian.cunbm.utcluj.ro …

In this article we consider the action of the real affine group and time rescaling on real planar
quadratic differential systems. We construct a system of representatives of the orbits of …

One new class of cubic systems with maximum number of invariant lines omitted in the
classification of J. Llibre and N. Vulpe Page 1 BULETINUL ACADEMIEI DE STIINTE A …

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 …

In this article we prove a classification theorem (Main Theorem) of real planar cubic vector
fields which possess eight invariant straight lines, including the line at infinity and including …