Fundamentalnaya i Prikladnaya Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Journal history

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Fundam. Prikl. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Fundamentalnaya i Prikladnaya Matematika, 2016, Volume 21, Issue 4, Pages 133–150 (Mi fpm1751)  
This article is cited in 2 scientific papers (total in 2 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 (2)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/fpm1751
  • https://www.mathnet.ru/eng/fpm/v21/i4/p133
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
    Statistics & downloads:
    Abstract page:244
    Full-text PDF :136
    References:22
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024