Rational map associated with the Sigmoid Beverton-Holt model on the projective line over $\mathbb{Q}_p$
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912182661283840 |
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| author | Liu, Cheng |
| author_facet | Liu, Cheng |
| contents | We describe the dynamical structure of the $p$-adic rational dynamical systems associated with the Sigmoid Beverton-Holt model on the projective line over the field $\mathbb{Q}_p$ of $p$-adic numbers. Our methods are minimal decomposition of $p$-adic polynomials with coefficients in $\mathbb{Z}_p$ established by Fan and Liao and the chaotic description of $p$-adic repellers of Fan, Liao, Wang and Zhou. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_05682 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rational map associated with the Sigmoid Beverton-Holt model on the projective line over $\mathbb{Q}_p$ Liu, Cheng Dynamical Systems Number Theory We describe the dynamical structure of the $p$-adic rational dynamical systems associated with the Sigmoid Beverton-Holt model on the projective line over the field $\mathbb{Q}_p$ of $p$-adic numbers. Our methods are minimal decomposition of $p$-adic polynomials with coefficients in $\mathbb{Z}_p$ established by Fan and Liao and the chaotic description of $p$-adic repellers of Fan, Liao, Wang and Zhou. |
| title | Rational map associated with the Sigmoid Beverton-Holt model on the projective line over $\mathbb{Q}_p$ |
| topic | Dynamical Systems Number Theory |
| url | https://arxiv.org/abs/2501.05682 |