THE STUDY OF FRACTAL PROCESS DEVELOPMENT BY CHANGING THE BASIC TRIANGLE

Abstract

The geometric properties of dynamic transients in self fractal structures with geometry were studied. The homothetic transformation coefficient pattern of change in the transition from stable to chaotic structure position is displayed. Proved that the fractal dimension of the structure is subject to transitional provisions Fibonacci patterns, allowing predictably manage dynamic process.

With n = 3 in the collapse dynamic fractal structure is starting. Further development of dynamic process control can be based on affine transformations and other changes in basic triangle.