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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 7 scientific papers (total in 7 papers)

A polynomial $p$-adic dynamical system

F. M. Mukhamedova, U. A. Rozikovb

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 (7)
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DOI: https://doi.org/10.4213/tmf6777
Abstract: We completely describe the Siegel discs and attractors for the $p$-adic dynamical system $f(x)=x^{2n+1}+ax^{n+1}$ on the space of complex $p$-adic numbers.
Keywords: polynomial dynamical system, attractor, Siegel disc, $p$-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 $p$-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 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:448
    Full-text PDF :170
    References:56
    First page:19
     
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