Fractal analysis is required when solving the problems of system diagnostics associated with time-series parameter changes. There is no economy sector that does not use algorithms based on the fractal analysis theory. However, this theory has long been given little attention and value. The conflict between the symmetry of Euclidean geometry and asymmetry of the real world can be further extended to our modern concept of time. Traditionally, all the events are treated as either random or deterministic. In fractal time, randomness and determinism, chaos and order are coexistent. This is also true for natural systems characterized by local randomness and global determinism. We have studied both linear and nonlinear fractals and analyzed the use of fractal analysis in such tasks as market assessment, assessment of oil companies, and complex system assessment tasks. Our program of Fractal Sets demonstrates the beauty of fractal patterns and the fractals’ property of self-similarity and enables obtaining Julia and Mandelbrot sets of different degrees. The program also allows us to study the behavior of fractal patterns in case of complex C constant changes and obtain complex point data of these sets. It is worth noting that the application of fractal analysis is more interesting and practical when using MatLab and SkiLab(Silab) packages with appropriate fractal analysis modules. We have developed software fractal analysis modules using character-coded mathematic packages indicated above. Moreover, we have developed software modules for building various types of fractals and fractal diagrams. Such solutions are topical in almost all relevant bachelor and master programs. The program of Fractal Sets used C++ programming language and received a Software Application State Registration Certificate.
fraktal, fraktal'naya geometriya, fraktal'nyy analiz, vremennye ryady
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