1. The algorithms for developing computer programs for the sets of Julia and Mandelbrot.
- Author
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Seytov, Sh. J., Narziyev, N. B., Eshniyozov, A. I., and Nishonov, S. N.
- Subjects
COMPUTER software ,COMPUTER algorithms ,NONLINEAR dynamical systems ,COMPUTER programming ,NATURE reserves - Abstract
At the present time "chaotic nonlinear dynamical systems" is the most popular branch of the mathematical modeling. Many of real life phenomena are nonlinear. In the present paper we investigate the simulations of fractal figures by computer programming. Fractals are strictly dependence with the nonlinear phenomena. There was scientific view that every real phenomenon is regular or stable at the time of Isaac Newton. Later Poincare [2] observed many of the real phenomena are not regular i.e. they are "chaotic". At first time fractal figures observed on the computer by Benoit Mandelbrot with several programmers of at the company IBM in 1980. Later appears the set of Mandelbrot [4] which is fractal, the most important tool of the sets of Julia [1] and strictly depends on the irregular phenomenon. In this paper we learn the developing computer program to obtain fractal figures which applicable to many areas of natural phenomena. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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