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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2004, Volume 245, Pages 202–209 (Mi tm185)  

This article is cited in 1 scientific paper (total in 1 paper)

p-Adic Monomial Dynamical Systems

M. Nilsson

Växjö University
Full-text PDF (195 kB) Citations (1)
References:
Abstract: We consider discrete dynamical systems in the field of p-adic numbers, Qp, for prime numbers p3. We study systems that are given by iterations of the monomial function xxn, where n2 is an integer. The dynamics looks totally different depending on whether pn or not. In both cases, interesting dynamics occurs on the unit sphere, S1(0) in Qp. In this article, we state some results about cycles and fuzzy cycles.
Received in December 2003
Bibliographic databases:
UDC: 517.94+512.625
Language: English
Citation: M. Nilsson, “p-Adic Monomial Dynamical Systems”, Selected topics of p-adic mathematical physics and analysis, Collected papers. Dedicated to the 80th birthday of academician Vasilii Sergeevich Vladimirov, Trudy Mat. Inst. Steklova, 245, Nauka, MAIK «Nauka/Inteperiodika», M., 2004, 202–209; Proc. Steklov Inst. Math., 245 (2004), 189–196
Citation in format AMSBIB
\Bibitem{Nil04}
\by M.~Nilsson
\paper $p$-Adic Monomial Dynamical Systems
\inbook Selected topics of $p$-adic mathematical physics and analysis
\bookinfo Collected papers. Dedicated to the 80th birthday of academician Vasilii Sergeevich Vladimirov
\serial Trudy Mat. Inst. Steklova
\yr 2004
\vol 245
\pages 202--209
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm185}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2099882}
\zmath{https://zbmath.org/?q=an:1098.37045}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2004
\vol 245
\pages 189--196
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  • https://www.mathnet.ru/eng/tm185
  • https://www.mathnet.ru/eng/tm/v245/p202
  • This publication is cited in the following 1 articles:
    1. S. V. Kozyrev, “Methods and Applications of Ultrametric and p-Adic Analysis: From Wavelet Theory to Biophysics”, Proc. Steklov Inst. Math., 274, suppl. 1 (2011), S1–S84  mathnet  crossref  crossref  zmath  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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    Abstract page:243
    Full-text PDF :108
    References:47
     
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