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Teoreticheskaya i Matematicheskaya Fizika, 2004, Volume 140, Number 2, Pages 329–336
DOI: https://doi.org/10.4213/tmf86 (Mi tmf86) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Attractor and Repeller Points for a Several-Variable Analytic Dynamical System in a Non-Archimedean Setting

J. Aguayo, M. Saavedra, M. Wallace

Universidad de Concepción
Full-text PDF (215 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf86
Abstract: We study discrete several-variable analytic dynamical systems over a complete non-Archimedean field with a nontrivial valuation and give sufficient conditions for a fixed point of the system to be an attractor, a repeller, or an indifferent point.
Keywords: $p$-adic numbers, non-Archimedean dynamical system, fixed point, attractor, repeller, Siegel disk.
Received: 29.10.2003
English version:
Theoretical and Mathematical Physics, 2004, Volume 140, Issue 2, Pages 1175–1181
DOI: https://doi.org/10.1023/B:TAMP.0000036547.76911.b1
Bibliographic databases:
Language: Russian
Citation: J. Aguayo, M. Saavedra, M. Wallace, “Attractor and Repeller Points for a Several-Variable Analytic Dynamical System in a Non-Archimedean Setting”, TMF, 140:2 (2004), 329–336; Theoret. and Math. Phys., 140:2 (2004), 1175–1181
Citation in format AMSBIB
\Bibitem{AguSaaWal04}
\by J.~Aguayo, M.~Saavedra, M.~Wallace
\paper Attractor and Repeller Points for a~Several-Variable Analytic Dynamical System in a~Non-Archimedean Setting
\jour TMF
\yr 2004
\vol 140
\issue 2
\pages 329--336
\mathnet{http://mi.mathnet.ru/tmf86}
\crossref{https://doi.org/10.4213/tmf86}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2101711}
\zmath{https://zbmath.org/?q=an:1178.37130}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2004TMP...140.1175A}
\transl
\jour Theoret. and Math. Phys.
\yr 2004
\vol 140
\issue 2
\pages 1175--1181
\crossref{https://doi.org/10.1023/B:TAMP.0000036547.76911.b1}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :248
    References:41
    First page:1
     
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