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IMI/Publicaţii/BASM/Ediţii/BASM n.1(92), 2020/

Solution of the problem of the center for cubic differential systems with three affine invariant straight lines of total algebraic multiplicity four

Authors: Silvia Turuta

Abstract

In this article, we study the planar cubic differential systems with a monodromic non-degenerate critical point and three affine invariant straight lines of total multiplicity four. We classify these systems and prove that monodromic point is of the center type if and only if the first Lyapunov quantity vanishes.

Institute of Mathematics and Computer Science
“Vladimir Andrunachievici”
Chisinau, Republic of Moldova
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