The algorithms for developing computer programs for the sets of Julia and Mandelbrot.

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]

Copyright of AIP Conference Proceedings is the property of American Institute of Physics and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)