Computer Simulation of Self-organization Processes. Structures in a One-dimensional Chain of Colliding Balls

Abstract

In this paper we consider the simplest computer educational models that demonstrate the properties of systems capable of self-organization. The models are a pagebreak chain of balls moving progressively along a straight line. It is assumed that in the collision of the balls act inelastic deformation forces, which ensures energy dissipation. Energy replenishment is provided by colliding with the walls, which impart additional energy to the balls. The study of the model in the educational process allows us to demonstrate such properties as bifurcations by changing the control parameter and hysteresis. The mathematical simplicity of the models allows them to be used in the learning process, since they require minimal programming skills from the students.