F. M. Mukhamedov, U. A. Rozikov, “A polynomial $p$-adic dynamical system”, TMF, 170:3 (2012), 448–456; Theoret. and Math. Phys., 170:3 (2012), 376

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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 170, Number 3, Pages 448–456
DOI: https://doi.org/10.4213/tmf6777 (Mi tmf6777)

This article is cited in 8 scientific papers (total in 8 papers)

A polynomial

p

$p$ -adic dynamical system

F. M. Mukhamedov^a, U. A. Rozikov^b

^a International Islamic University Malaysia, Kuatan, Malaysia
^b Institute for Mathematics and Information Technologies, National Academy of Sciences of Uzbekistan, Tashkent, Uzbekistan

Full-text PDF (424 kB) Citations (8)

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DOI: https://doi.org/10.4213/tmf6777

Abstract: We completely describe the Siegel discs and attractors for the

p

$p$ -adic dynamical system

f (x) = x^{2 n + 1} + a x^{n + 1}

$f(x)=x^{2n+1}+ax^{n+1}$ on the space of complex

p

$p$ -adic numbers.

Keywords: polynomial dynamical system, attractor, Siegel disc,

p

$p$ -adic number.

Received: 01.05.2011

English version:
Theoretical and Mathematical Physics, 2012, Volume 170, Issue 3, Pages 376–383
DOI: https://doi.org/10.1007/s11232-012-0036-3

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: F. M. Mukhamedov, U. A. Rozikov, “A polynomial

p

$p$ -adic dynamical system”, TMF, 170:3 (2012), 448–456; Theoret. and Math. Phys., 170:3 (2012), 376–383

Citation in format AMSBIB

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This publication is cited in the following 8 articles:

Toka Diagana, Bertin Diarra, “Analysis of the Dynamics of the Sigmoid Beverton-Holt Model with Overlapping Generations in the Projective Line ${\mathbb P}^1({\mathbb Q}_p)$ ”, P-Adic Num Ultrametr Anal Appl, 17:1 (2025), 62
Toka Diagana, “The long-term behavior of the p-adic Sigmoid Beverton-Holt dynamical systems in the projective line P1(Qp)”, Journal of Mathematical Analysis and Applications, 530:1 (2024), 127638
I. A. Sattarov, E. T. Aliev, “Ergodicity and Periodic Orbits of $p$ -Adic $(1,2)$ -Rational Dynamical Systems with Two Fixed Points”, P-Adic Num Ultrametr Anal Appl, 15:1 (2023), 48
Rozikov U.A. Sattarov I.A., “Dynamical Systems of the P-Adic (2,2)-Rational Functions With Two Fixed Points”, Results Math., 75:3 (2020), 100
Luna A.R., Rozikov U.A., Sattarov I.A., “P-Adic Dynamical Systems of (3, 1)-Rational Functions With Unique Fixed Point”, P-Adic Numbers Ultrametric Anal. Appl., 12:3 (2020), 210–230
U. A. Rozikov, I. A. Sattarov, “ $p$ -Adic dynamical systems of (2,2)-rational functions with unique fixed point”, Chaos Solitons Fractals, 105 (2017), 260–270
F. Mukhamedov, “Renormalization method in $p$ -adic lambda-model on the Cayley tree”, Int. J. Theor. Phys., 54:10 (2015), 3577–3595
Vedenyapin V.V., Fimin N.N., “The Liouville equation, the hydrodynamic substitution, and the Hamilton–Jacobi equation”, Dokl. Math., 86:2 (2012), 697–699

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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