Year of Graduation
Limit Configurations in Some System of Interacting Particles: Analysis and Simulation.
In this paper, we study the system of interacting particles on a circle. The particles interact according to the Hegselmann-Krause algorithm. The purpose of the work is to study the properties of the mathematical model of this system. We implements an algorithm for modeling the behavior of the system. The properties of the final configurations were analyzed under the condition that the initial configuration is a random vector, each coordinate of which is uniformly distributed on a circle. The characteristics of some functions of the final configuration vector are investigated: the number of clusters, the cluster size, and the particle density at the final moment.