Trees and superintegrable Lotka-Volterra families
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866916458343170048 |
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| author | van der Kamp, Peter H. Quispel, G. R. W. McLaren, D. I. |
| author_facet | van der Kamp, Peter H. Quispel, G. R. W. McLaren, D. I. |
| contents | To any tree on $n$ vertices we associate an $n$-dimensional Lotka-Volterra system with $3n-2$ parameters and, for generic values of the parameters, prove it is superintegrable, i.e. it admits $n-1$ functionally independent integrals. We also show how these systems can be reduced to an ($n-1$)-dimensional system which is superintegrable and solvable by quadratures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_15169 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Trees and superintegrable Lotka-Volterra families van der Kamp, Peter H. Quispel, G. R. W. McLaren, D. I. Exactly Solvable and Integrable Systems Dynamical Systems To any tree on $n$ vertices we associate an $n$-dimensional Lotka-Volterra system with $3n-2$ parameters and, for generic values of the parameters, prove it is superintegrable, i.e. it admits $n-1$ functionally independent integrals. We also show how these systems can be reduced to an ($n-1$)-dimensional system which is superintegrable and solvable by quadratures. |
| title | Trees and superintegrable Lotka-Volterra families |
| topic | Exactly Solvable and Integrable Systems Dynamical Systems |
| url | https://arxiv.org/abs/2311.15169 |