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Izvestiya: Mathematics, 2007, Volume 71, Issue 4, Pages 753–764
DOI: https://doi.org/10.1070/IM2007v071n04ABEH002374 (Mi im725) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Attracting fixed points of polynomial dynamical systems in fields of $p$-adic numbers

A. Yu. Khrennikov, P.-A. Svensson

Växjö University
English version PDF (275 kB) Citations (11)
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DOI: https://doi.org/10.1070/IM2007v071n04ABEH002374
Abstract: We consider dynamical systems of the form $h(x)=x+g(x)$, where $g(x)$ is a monic irreducible polynomial with coefficients in the ring of integers of a $\mathfrak p$-adic field $K$. We also study 2-periodic points of some simple polynomials of this form in the case when $K=\mathbb Q_p$.
Received: 14.12.2005
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2007, Volume 71, Issue 4, Pages 103–114
DOI: https://doi.org/10.4213/im725
Bibliographic databases:
UDC: 511+517.987
MSC: 37E15, 11S05, 46S10
Language: English
Original paper language: Russian
Citation: A. Yu. Khrennikov, P. Svensson, “Attracting fixed points of polynomial dynamical systems in fields of $p$-adic numbers”, Izv. RAN. Ser. Mat., 71:4 (2007), 103–114; Izv. Math., 71:4 (2007), 753–764
Citation in format AMSBIB
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\pages 103--114
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  • https://doi.org/10.1070/IM2007v071n04ABEH002374
  • https://www.mathnet.ru/eng/im/v71/i4/p103
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:605
    Russian version PDF:242
    English version PDF:16
    References:85
    First page:7
     
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