Discrete two-countour system with one-directional motion

TL;DR

This paper investigates a dynamical system with two contours and clusters of particles that move under specific rules, focusing on delays caused by non-simultaneous passage through nodes, contributing to the study of contour networks.

Contribution

It introduces a new model of a two-contour system with one-directional motion, analyzing cluster delays within the framework of contour networks.

Findings

Clusters experience delays due to node passage restrictions

The system belongs to the class of contour networks by Buslaev

Provides insights into particle movement dynamics on contours

Abstract

This paper studies a dynamical system, which contains two contours. There is a cluster on each contour. The cluster contains particles, located in adjacent cells. The clusters move under prescribed rules. The delays of clusters are due to that the clusters cannot pass through the node simultaneously. The dynamical system belongs to the class of contour networks introduced by A. P. Buslaev.