The problem of the center for cubic differential systems with two affine non-parallel invariant straight lines of total multiplicity three
In this paper, we show that a center-focus critical point of cubic differential systems with two affine non-parallel invariant straight lines of total multiplicity three is a center type if and only if the first five Lyapunov quantities vanish.
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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/1084 |
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| _version_ | 1823857429189754880 |
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| author | Alexandru Șubă |
| author_facet | Alexandru Șubă |
| author_sort | Alexandru Șubă |
| collection | DOAJ |
| description | In this paper, we show that a center-focus critical point of cubic differential systems with two affine non-parallel invariant straight lines of total multiplicity three is a center type if and only if the first five Lyapunov quantities vanish.
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| format | Article |
| id | doaj-art-73351e3224c04dbf8f0d6296534a0ce0 |
| institution | Kabale University |
| 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-73351e3224c04dbf8f0d6296534a0ce02025-02-11T21:03:58Zeng"Ion Creanga" State Pedagogical UniversityActa et Commentationes: Ştiinţe Exacte şi ale Naturii2537-62842587-36442025-01-0118210.36120/2587-3644.v18i2.18-37The problem of the center for cubic differential systems with two affine non-parallel invariant straight lines of total multiplicity threeAlexandru Șubă0``Vladimir Andrunachievici'' Institute of Mathematics and Computer Sciences, Moldova State University, 5 Academiei St., Chișinău, Republic of Moldova; ``Ion Creangă'' State Pedagogical University, 1 Ion Creangă St., Chișinău, Republic of MoldovaIn this paper, we show that a center-focus critical point of cubic differential systems with two affine non-parallel invariant straight lines of total multiplicity three is a center type if and only if the first five Lyapunov quantities vanish. https://revistaust.upsc.md/index.php/acta_exacte/article/view/1084cubic differential systemmultiple invariant linethe problem of the center |
| spellingShingle | Alexandru Șubă The problem of the center for cubic differential systems with two affine non-parallel invariant straight lines of total multiplicity three Acta et Commentationes: Ştiinţe Exacte şi ale Naturii cubic differential system multiple invariant line the problem of the center |
| title | The problem of the center for cubic differential systems with two affine non-parallel invariant straight lines of total multiplicity three |
| title_full | The problem of the center for cubic differential systems with two affine non-parallel invariant straight lines of total multiplicity three |
| title_fullStr | The problem of the center for cubic differential systems with two affine non-parallel invariant straight lines of total multiplicity three |
| title_full_unstemmed | The problem of the center for cubic differential systems with two affine non-parallel invariant straight lines of total multiplicity three |
| title_short | The problem of the center for cubic differential systems with two affine non-parallel invariant straight lines of total multiplicity three |
| title_sort | problem of the center for cubic differential systems with two affine non parallel invariant straight lines of total multiplicity three |
| topic | cubic differential system multiple invariant line the problem of the center |
| url | https://revistaust.upsc.md/index.php/acta_exacte/article/view/1084 |
| work_keys_str_mv | AT alexandrusuba theproblemofthecenterforcubicdifferentialsystemswithtwoaffinenonparallelinvariantstraightlinesoftotalmultiplicitythree AT alexandrusuba problemofthecenterforcubicdifferentialsystemswithtwoaffinenonparallelinvariantstraightlinesoftotalmultiplicitythree |