\(p\)-adic \((2,1)\)-rational dynamical systems

DOI10.1016/J.JMAA.2012.09.009zbMath1302.37056arXiv1111.6725OpenAlexW148629401MaRDI QIDQ695109

I. A. Sattarov, Utkir A. Rozikov, Sergio A. Albeverio

Publication date: 20 December 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.6725

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) Non-Archimedean Fatou and Julia sets (37P40)

Related Items (17)

Chaos in p-adic Statistical Lattice Models: Potts Model ⋮ Chaotic behavior of the \(p\)-adic Potts-Bethe mapping ⋮ Dynamical systems of the \(p\)-adic (2, 2)-rational functions with two fixed points ⋮ Ergodicity and periodic orbits of \(p\)-adic \((1,2)\)-rational dynamical systems with two fixed points ⋮ \(p\)-adic dynamical systems of (2,2)-rational functions with unique fixed point ⋮ Random processes on non-Archimedean spaces ⋮ On minimal decomposition of \(p\)-adic homographic dynamical systems ⋮ \(p\)-adic dynamical systems of \((3,1)\)-rational functions with unique fixed point ⋮ On non-Archimedean recurrence equations and their applications ⋮ Minimality of \(p\)-adic rational maps with good reduction ⋮ Rational map \(ax + 1/x\) on the projective line over \(\mathbb{Q}_2\) ⋮ On a nonlinear \(p\)-adic dynamical system ⋮ Rational map 𝑎𝑥+1/𝑥 on the projective line over ℚ_{𝕡} ⋮ \(p\)-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 \(\frac{ax}{x^2+a}\)

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