The integrable Volterra system in the case of infinitely many species, either countable or uncountable
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866912959030099968 |
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| author | Ragnisco, Orlando Zullo, Federico |
| author_facet | Ragnisco, Orlando Zullo, Federico |
| contents | In the present paper we derive a further extension of the results contained in two recent articles, both published in Open Communications in Nonlinear Mathematical Physics, where it was shown that the integrable version of the N-species Volterra model, introduced by V. Volterra in 1937, is in fact maximally superintegrable. Here we point out that the superintegrability property applies as well to the case of infinitely many competing species, either countable or uncountable. Analytical and numerical results are given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_15150 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The integrable Volterra system in the case of infinitely many species, either countable or uncountable Ragnisco, Orlando Zullo, Federico Exactly Solvable and Integrable Systems In the present paper we derive a further extension of the results contained in two recent articles, both published in Open Communications in Nonlinear Mathematical Physics, where it was shown that the integrable version of the N-species Volterra model, introduced by V. Volterra in 1937, is in fact maximally superintegrable. Here we point out that the superintegrability property applies as well to the case of infinitely many competing species, either countable or uncountable. Analytical and numerical results are given. |
| title | The integrable Volterra system in the case of infinitely many species, either countable or uncountable |
| topic | Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2601.15150 |