4 papers
Planar quadratic differential systems with invariant straight lines of the total multiplicity 4
Dana Schlomiuk, Nicolae Vulpe
In this article we consider the action of affine group and time rescaling on planar quadratic differential systems. We construct a system of representatives of the orbits of system…
Planar quadratic vector fields with invariant lines of total multiplicity at least five
Dana Schlomiuk, Nicolae Vulpe
In this article we consider the action of affine group and time rescaling on planar quadratic differential systems. We construct a system of representatives of the orbits of system…
Geometry of quadratic differential systems in the neighbourhood of infinity
Dana Schlomiuk, Nicolae Vulpe
In this article we consider the behavior in the vicinity of infinity of the class of all planar quadratic differential systems. This family depends on twelve parameters but due to…
Planar cubic polynomial differential systems with the maximum number of invariant straight lines
Jaume Llibre, Nicolae Vulpe
We classify all cubic systems possessing the maximum number of invariant straight lines (real or complex) taking into account their multiplicities. We prove that there are exactly…