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IMI/Publicaţii/BASM/Ediţii/BASM n.2(90), 2019/

The classification of a family of cubic differential systems in terms of configurations of invariant lines of the type (3,3)

Authors: Bujac Cristina

Abstract

In this article we consider the class of non-degenerate real planar cubic vector fields, which possess two real and two complex distinct infinite singularities and invariant straight lines, including the line at infinity, of total multiplicity 7. In addition, the systems from this class possess configurations of the type (3,3). We prove that there are exactly 16 distinct configurations of invariant straight lines for this class and present corresponding examples for the realization of each one of the detected configurations.

Vladimir Andrunachievici Institute of Mathematics
and Computer Science
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