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Fundam. Prikl. Mat., 2016, Volume 21, Issue 4, Pages 133–150 (Mi fpm1751)  

Smooth Julia sets

V. S. Sekovanov

N. A. Nekrasov Kostroma State University

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


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Document Type: Article
UDC: 517.988.5

Citation: V. S. Sekovanov, “Smooth Julia sets”, Fundam. Prikl. Mat., 21:4 (2016), 133–150

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://www.ams.org/mathscinet-getitem?mr=3783800}


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  • Фундаментальная и прикладная математика
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