On a nonlinear \(p\)-adic dynamical system

DOI10.1134/S207004661401004XzbMath1347.37148arXiv1310.4942MaRDI QIDQ2263131

I. A. Sattarov, Utkir A. Rozikov

Publication date: 17 March 2015

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.4942

zbMATH Keywords

attractorsSiegel diskcomplex \(p\)-adic fieldrational dynamical systems

Mathematics Subject Classification ID

Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Dynamical systems over non-Archimedean local ground fields (37P20)

Related Items (12)

Translation-invariant \(p\)-adic quasi-Gibbs measures for the Ising-Vannimenus model on a Cayley tree ⋮ The long-term behavior of the \(p\)-adic Sigmoid Beverton-Holt dynamical systems in the projective line \(\mathbb{P}^1 (\mathbb{Q}_p)\) ⋮ \(p\)-adic dynamical systems of (2,2)-rational functions with unique fixed point ⋮ ON A GENERALIZED SELF-SIMILARITY IN THE p-ADIC FIELD ⋮ \(p\)-adic dynamical systems of \((3,1)\)-rational functions with unique fixed point ⋮ Phase transition and chaos: \(p\)-adic Potts model on a Cayley tree ⋮ \(p\)-adic (3, 2)-rational dynamical systems ⋮ Renormalization method in \(p\)-adic \(\lambda\)-model on the Cayley tree ⋮ \(p\)-adic dynamical systems of the function \(ax^{-2}\) ⋮ \(p\)-adic dynamical systems of the function \(\frac{ax}{x^2+a}\) ⋮ On metric properties of unconventional limit sets of contractive non-Archimedean dynamical systems ⋮ Recurrence equations over trees in a non-Archimedean context

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