Geodesic
Solution of the problem of the center for cubic differential systems with three affine invariant straight lines of total algebraic multiplicity four
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2020), pp. 89-105

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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. 
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     author = {Silvia Turuta},
     title = {Solution of the problem of the center for cubic differential systems with three affine invariant straight lines of total algebraic multiplicity four},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {89--105},
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     number = {1},
     year = {2020},
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}
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Silvia Turuta. Solution of the problem of the center for cubic differential systems with three affine invariant straight lines of total algebraic multiplicity four. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2020), pp. 89-105. http://geodesic.mathdoc.fr/item/BASM_2020_1_a5/