Center conditions for a cubic differential system with one invariant straight line and one invariant conic
In this work we find the center conditions for a cubic system of differential equations with a critical point of a center or a focus type having one invariant straight line and one invariant conic. The center-focus problem is studied by using the Darboux integrability and the rational reversibility...
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| Format: | Article |
| Language: | English |
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"Ion Creanga" State Pedagogical University
2025-01-01
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| Series: | Acta et Commentationes: Ştiinţe Exacte şi ale Naturii |
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| Online Access: | https://revistaust.upsc.md/index.php/acta_exacte/article/view/1092 |
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| _version_ | 1850067687607107584 |
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| author | Dumitru Cozma |
| author_facet | Dumitru Cozma |
| author_sort | Dumitru Cozma |
| collection | DOAJ |
| description | In this work we find the center conditions for a cubic system of differential equations with a critical point of a center or a focus type having one invariant straight line and one invariant conic. The center-focus problem is studied by using the Darboux integrability and the rational reversibility methods. |
| format | Article |
| id | doaj-art-75092b7e36c94e93b5a43ea380ee44a6 |
| institution | DOAJ |
| issn | 2537-6284 2587-3644 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | "Ion Creanga" State Pedagogical University |
| record_format | Article |
| series | Acta et Commentationes: Ştiinţe Exacte şi ale Naturii |
| spelling | doaj-art-75092b7e36c94e93b5a43ea380ee44a62025-08-20T02:48:13Zeng"Ion Creanga" State Pedagogical UniversityActa et Commentationes: Ştiinţe Exacte şi ale Naturii2537-62842587-36442025-01-0118210.36120/2587-3644.v18i2.125-137Center conditions for a cubic differential system with one invariant straight line and one invariant conicDumitru Cozma0“Ion Creangă” State Pedagogical University of Chișinău, 1 Ion Creangă st., MD-2069, Republic of MoldovaIn this work we find the center conditions for a cubic system of differential equations with a critical point of a center or a focus type having one invariant straight line and one invariant conic. The center-focus problem is studied by using the Darboux integrability and the rational reversibility methods.https://revistaust.upsc.md/index.php/acta_exacte/article/view/1092cubic system of differential equationsthe center-focus probleminvariant algebraic curveDarboux integrabilityrational reversibility |
| spellingShingle | Dumitru Cozma Center conditions for a cubic differential system with one invariant straight line and one invariant conic Acta et Commentationes: Ştiinţe Exacte şi ale Naturii cubic system of differential equations the center-focus problem invariant algebraic curve Darboux integrability rational reversibility |
| title | Center conditions for a cubic differential system with one invariant straight line and one invariant conic |
| title_full | Center conditions for a cubic differential system with one invariant straight line and one invariant conic |
| title_fullStr | Center conditions for a cubic differential system with one invariant straight line and one invariant conic |
| title_full_unstemmed | Center conditions for a cubic differential system with one invariant straight line and one invariant conic |
| title_short | Center conditions for a cubic differential system with one invariant straight line and one invariant conic |
| title_sort | center conditions for a cubic differential system with one invariant straight line and one invariant conic |
| topic | cubic system of differential equations the center-focus problem invariant algebraic curve Darboux integrability rational reversibility |
| url | https://revistaust.upsc.md/index.php/acta_exacte/article/view/1092 |
| work_keys_str_mv | AT dumitrucozma centerconditionsforacubicdifferentialsystemwithoneinvariantstraightlineandoneinvariantconic |