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Fundamentalnaya i Prikladnaya Matematika, 2021, Volume 23, Issue 4, Pages 163–176 (Mi fpm1915)  

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

On Julia set of the functions which have parabolic fixed points

V. S. Sekovanov

Kostroma State University, Kostroma, Russia
Full-text PDF (246 kB) Citations (1)
References:
Abstract: In the present article, functions with parabolic fixed points are examined and Julia sets have been investigated, including rotational symmetry revealing. Collections of functions which have lines and rays as Julia sets, have been adduced. Construction algorithms for Julia sets of some functions and a number of results obtained by analytical investigations which are visualised by means of computer programs, have been described. Comparison of holomorphic dynamics of a collection of functions which have parabolic fixed point, with holomorphic dynamics of a collection of functions which have attracting fixed point, has been conducted.
Funding agency Grant number
Russian Science Foundation 16-18-10304
The research has been carried out with assistance of the Russian scientific fund grant (project No. 16-18-10304).
English version:
Journal of Mathematical Sciences (New York), 2023, Volume 269, Issue 4, Pages 558–567
DOI: https://doi.org/10.1007/s10958-023-06300-9
Document Type: Article
UDC: 517.988.5
Language: Russian
Citation: V. S. Sekovanov, “On Julia set of the functions which have parabolic fixed points”, Fundam. Prikl. Mat., 23:4 (2021), 163–176; J. Math. Sci., 269:4 (2023), 558–567
Citation in format AMSBIB
\Bibitem{Sek21}
\by V.~S.~Sekovanov
\paper On Julia set of the functions which have parabolic fixed points
\jour Fundam. Prikl. Mat.
\yr 2021
\vol 23
\issue 4
\pages 163--176
\mathnet{http://mi.mathnet.ru/fpm1915}
\transl
\jour J. Math. Sci.
\yr 2023
\vol 269
\issue 4
\pages 558--567
\crossref{https://doi.org/10.1007/s10958-023-06300-9}
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  • https://www.mathnet.ru/eng/fpm/v23/i4/p163
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Фундаментальная и прикладная математика
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    Full-text PDF :92
    References:22
     
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