First integrals in a cubic differential system with one invariant straight line and one invariant cubic

In this paper we find conditions for a singular point O(0, 0) of a center or a focus type to be a center, in a cubic differential system with one invariant straight line and one invariant cubic. The presence of a center at O(0, 0) is proved by constructing Darboux first integrals.

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Bibliographic Details
Main Author: Dumitru Cozma
Format: Article
Language:English
Published: "Ion Creanga" State Pedagogical University 2024-01-01
Series:Acta et Commentationes: Ştiinţe Exacte şi ale Naturii
Subjects:
Online Access:https://revistaust.upsc.md/index.php/acta_exacte/article/view/962
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