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arXiv · 2501.05682

Rational map associated with the Sigmoid Beverton-Holt model on the projective line over $\mathbb{Q}_p$

Cheng Liu
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Abstract

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.

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Cheng Liu. 2025-01-10. Rational map associated with the Sigmoid Beverton-Holt model on the projective line over $\mathbb{Q}_p$. https://arxiv.org/abs/2501.05682

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