Geodesic
On an exact estimate of the number of real invariant lines of polynomial vector fields of degree $n$
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Mathematical Physics, Tome 225 (2023), pp. 123-133.

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In this paper, we prove that a polynomial vector field of degree $n$ that has two invariant sets, each of which consists of ${n-1}$ pairwise real invariant straight lines, has at most ${2n+4}$ invariant straight lines, where $n$ is odd and $n\geq3$.
Keywords: polynomial vector field, invariant straight line, rectangle, golden ratio.
Mots-clés : invariant set, nodal point 
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A. D. Ushkho; V. B. Tlyachev; D. S. Ushkho. On an exact estimate of the number of real invariant lines of polynomial vector fields of degree $n$. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Mathematical Physics, Tome 225 (2023), pp. 123-133. http://geodesic.mathdoc.fr/item/INTO_2023_225_a10/

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