Centers of quasi-homogeneous polynomial planar systems
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914958954987520 |
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| author | Algaba, A. Fuentes, N. García, C. |
| author_facet | Algaba, A. Fuentes, N. García, C. |
| contents | In this paper we determine the centers of quasi-homogeneous polynomial planar vector fields of degree 0, 1, 2, 3 and 4. In addition, in every case we make a study of the reversibility and the analytical integrability of each one of the above centers.Wefind polynomial centers which are neither orbitally reversible nor analytically integrable, this is a new scenario in respect to the one of non-degenerate and nilpotent centers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_18774 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Centers of quasi-homogeneous polynomial planar systems Algaba, A. Fuentes, N. García, C. Dynamical Systems F.2.2, I.2.7 G.4 In this paper we determine the centers of quasi-homogeneous polynomial planar vector fields of degree 0, 1, 2, 3 and 4. In addition, in every case we make a study of the reversibility and the analytical integrability of each one of the above centers.Wefind polynomial centers which are neither orbitally reversible nor analytically integrable, this is a new scenario in respect to the one of non-degenerate and nilpotent centers. |
| title | Centers of quasi-homogeneous polynomial planar systems |
| topic | Dynamical Systems F.2.2, I.2.7 G.4 |
| url | https://arxiv.org/abs/2409.18774 |