Centers of cubic differential systems with the line at infinity of maximal multiplicity

We classify all cubic differential systems with a center-focus critical point and the line at infinity of maximal multiplicity. It is proved that the critical point is of the center type if and only if the divergence of the vector field associated to differential system vanishes.

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Bibliographic Details
Main Author: Alexandru Șubă
Format: Article
Language:English
Published: "Ion Creanga" State Pedagogical University 2023-09-01
Series:Acta et Commentationes: Ştiinţe Exacte şi ale Naturii
Subjects:
Online Access:https://revistaust.upsc.md/index.php/acta_exacte/article/view/885
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