Cubic differential systems with invariant straight lines of total multiplicity seven and four real distinct infinite singularities
Copyright policy )Cubic differential systems with invariant straight lines of total multiplicity seven and four real distinct infinite singularities
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
- University of Montreal Canada
configurations of invariant straight lines, Singularities of vector fields, topological aspects, QA1-939, cubic vector field, multiplicity of singularity, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, infinite and finite singularities, Nonlinear ordinary differential equations and systems, invariant straight line, Mathematics, multiplicity of invariant lines
configurations of invariant straight lines, Singularities of vector fields, topological aspects, QA1-939, cubic vector field, multiplicity of singularity, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, infinite and finite singularities, Nonlinear ordinary differential equations and systems, invariant straight line, Mathematics, multiplicity of invariant lines
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