Computer Modelling of Processes of Self-Organization. Analogy to Benar's Cells

Abstract

The model based on the classical movement of a particle in the area limited by walls, that can exchange energy with the particle is considered. The energy of the particle can increase or decrease depending of the temperature of the wall. As shows modeling, in the presence of temperature gradient in such model this system can contain processes which are analogical to processes of self-organization. Namely the trajectory of particle in phase space tends to one of elementary cyclic attractors. Mathematical simplicity of model allows to use her in the course of training because it demands from the trained minimum skills of programming.