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Fundamentalnaya i Prikladnaya Matematika, 2016, Volume 21, Issue 4, Pages 133–150 (Mi fpm1751)  
This article is cited in 4 scientific papers (total in 4 papers)

Smooth Julia sets

V. S. Sekovanov

Kostroma State University, Institute of Physical, Mathematical and Natural Sciences, Department of Applied Mathematics and Information Technology, Kostroma, Russia
Full-text PDF (338 kB) Citations (4)
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Abstract: It is known that Julia sets, as a rule, have a fractal structure. In this paper, we give examples of smooth Julia sets, among them: a circle, a segment, an infinite interval, a straight line, and the complex plane. It is shown that the functions studied in the paper are chaotic on their Julia sets. The results obtained by analytical research are visualized using computer programs. The algorithms for constructing the Julia sets considered are indicated.
Funding agency Grant number
Russian Science Foundation 16-18-10304
The research was supported by a grant from the Russian Science Foundation (project No. 16-18-10304).
English version:
Journal of Mathematical Sciences (New York), 2020, Volume 245, Issue 2, Pages 202–216
DOI: https://doi.org/10.1007/s10958-020-04687-3
Bibliographic databases:
Document Type: Article
UDC: 517.988.5
Language: Russian
Citation: V. S. Sekovanov, “Smooth Julia sets”, Fundam. Prikl. Mat., 21:4 (2016), 133–150; J. Math. Sci., 245:2 (2020), 202–216
Citation in format AMSBIB
\Bibitem{Sek16}
\by V.~S.~Sekovanov
\paper Smooth Julia sets
\jour Fundam. Prikl. Mat.
\yr 2016
\vol 21
\issue 4
\pages 133--150
\mathnet{http://mi.mathnet.ru/fpm1751}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3783800}
\transl
\jour J. Math. Sci.
\yr 2020
\vol 245
\issue 2
\pages 202--216
\crossref{https://doi.org/10.1007/s10958-020-04687-3}
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  • https://www.mathnet.ru/eng/fpm/v21/i4/p133
    • This publication is cited in the following 4 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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    References:29
     
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