Cubic differential systems with invariant straight lines of total multiplicity seven and four real distinct infinite singularities

Abstract

In this article we consider the class \(\mathrm{CSL}_7^{4s\infty}\) of non-degenerate real planar cubic vector fields possessing four distinctreal infinite singularities and invariant straight lines, including the line at infinity of total multiplicity 7. We prove that there are exactly 93 distinct configurations of invariant straight lines for this class, and present corresponding examples for the realization of each one of the detected configurations. For more information see https://ejde.math.txstate.edu/Volumes/2021/83/abstr.html