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 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 …

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 …

In the article Llibre and Vulpe (Rocky Mt J Math 38: 1301–1373, 2006) the family of cubic
polynomial differential systems possessing invariant straight lines of total multiplicity 9 was …

An algebraic curve f (x, y)= 0, f∈ C [x, y](a function f= exp (g/h), g, h∈ C [x, y]) is called an
invariant algebraic curve (exponential factor) of the system (1) if there exists a polynomial …

In this article we prove a classification theorem (Main theorem) of real planar cubic vector
fields which possess two distinct infinite singularities (real or complex) and eight invariant …

In this article we classify all differential real cubic systems possessing two affine real non-
parallel invariant straight lines of maximal multiplicity. We show that the maximal multiplicity …

In this work we consider the problem of classifying all configurations of invariant lines of total
multiplicity eight (including the line at infinity) of real planar cubic differential systems. The …