A family of planar Lotka--Volterra systems with invariant algebraic curves of arbitrary degree
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917141047934976 |
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| author | Coyo-Guarachi, Javier Rebollo-Perdomo, Salomón |
| author_facet | Coyo-Guarachi, Javier Rebollo-Perdomo, Salomón |
| contents | We introduce a new family of planar Lotka--Volterra systems admitting explicit invariant algebraic curves of arbitrarily high degree. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_11117 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A family of planar Lotka--Volterra systems with invariant algebraic curves of arbitrary degree Coyo-Guarachi, Javier Rebollo-Perdomo, Salomón Classical Analysis and ODEs Dynamical Systems Primary: 34C45, Secondary: 34C05, 34C14, 14H70 We introduce a new family of planar Lotka--Volterra systems admitting explicit invariant algebraic curves of arbitrarily high degree. |
| title | A family of planar Lotka--Volterra systems with invariant algebraic curves of arbitrary degree |
| topic | Classical Analysis and ODEs Dynamical Systems Primary: 34C45, Secondary: 34C05, 34C14, 14H70 |
| url | https://arxiv.org/abs/2512.11117 |