Author: Nishonov, Samad Nishonovich

Annotation: 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 and apply them to some area of natural phenomena.

Keywords: Isaac Newton, “chaotic nonlinear dynamical systems”, “chaotic”.

Pages in journal: 803 - 810