MODELLING OF PROCESSES ON THE BASIS OF CONSECUTIVE GIPERFRACTAL DISTRIBUTIONS Modelling of processes on the basis of consecutive giperfractal distributions

Published in Intellectual Technologies on Transport · Issue 1 · Pages 20–24 · Rubric: Articles
Received: 11.01.2025 Accepted: 11.01.2025 Published: 11.01.2025 Language of publication: RUS
Authors
Fractals, the theory of fractals are applied at the description of various phenomena, from biological to quantum mechanical. The mathematical model of representation of processes in the form of consecutive hyper fractal distribution is offered. It is based on model of quantization of information and the giperdeltny distribution of probabilities which is earlier offered by the author. For formation of the sequence the nonlinear integrated equation with an integer kernel is offered. On him there are a basic fractal and subfractals (clusters). An example for uniform distribution is reviewed. Estimation of probabilistic and entropy properties of components of decomposition is made. Use in metrology is recommended, to the theory of information and the theory of effi ciency.
the sequences of fractals, subfraktal, the probabilistic properties, entropy properties determined and casual processes