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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| Main Author: | Dumitru Cozma |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
"Ion Creanga" State Pedagogical University
2024-01-01
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| 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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