UDC 004.925.86
MODELING AND ANALYSIS OF FRACTAL GROWTH PATTERNS FROM MATERIAL POINT
K. A. Maikov, Dr. in technical sciences, full professor, Informatics and control systems Department, Bauman Moscow State Technical University, Moscow, Russia;
orcid.org/0000-0003-1864-2397, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
A. N. Pylkin, Dr. in technical sciences, full professor, RSREU, Ryazan, Russia;
orcid.org/0000-0001-9925-2870, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
S. N. Kuzmenko, PhD in physics and mathematics, associate professor, Department of mathematics, physics and Informatics, Kerch state marine technological University, Kerch, Russia;
orcid.org/0000-0002-1039-1274, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
A. A. Teplov, post-graduate student, Informatics and control systems Department, Bauman Moscow State Technical University, Moscow, Russia;
orcid.org/0000-0002-1785-6089, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
The growth of fractals from a material point is modeled using single-phase and multi-phase algorithms for linear fractals and polygonal fractal forms. The connection of fractal growth processes with the phenomena of formation in nature is considered. A method for analyzing growth processes and their characteristics is proposed. Growth laws of fractals metric characteristics and their transformation when changing growth algorithm are revealed. A growth path of fractal points and the distribution of slope angles of their elements are analyzed. The influence of stochastic fluctuations in the length of fractal elements on the process of its growth is modeled. It is shown that the algorithms and methods used for analyzing growth processes have great potential for modernization and adaptation to a wide range of tasks.
Key words: fractal growth, geometric fractals, stochastic fractals, algorithms for constructing fractals, analysis of building fractals.