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.

Dades bibliogràfiques

Autor principal:	Dumitru Cozma
Format:	Artigo
Idioma:	Inglês
Publicat:	"Ion Creanga" State Pedagogical University 2024-01-01
Col·lecció:	Acta et Commentationes: Ştiinţe Exacte şi ale Naturii
Matèries:	cubic differential system invariant algebraic curve Darboux integrability the problem of the center
Accés en línia:	https://revistaust.upsc.md/index.php/acta_exacte/article/view/962
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