Discrete Open Buslaev Chain with Heterogenous Loading

Abstract

We consider a dynamical system called a discrete open chain of circles. There is a cluster of particles in each circle. The clusters move in accordance with given rules. The length of circles is the same, and the lengths of clusters are different. There are common points of neighboring circles. These common points are called nodes. This dynamical system belongs to the class of Buslaev type networks. We study the system behavior. We have obtained results regarding the main characteristic — the spectrum of the average clusters velocities depending on clusters lengths distribution.