Aleksandr Tatashev
Publications:
Yashina M. V., Tatashev A. G.
A TwoContour System with Two Clusters of Different Lengths
2021, Vol. 17, no. 2, pp. 221242
Abstract
A system belonging to the class of dynamical systems such as Buslaev contour networks is
investigated. On each of the two closed contours of the system there is a segment, called a cluster,
which moves with constant velocity if there are no delays. The contours have two common points
called nodes. Delays in the motion of the clusters are due to the fact that two clusters cannot
pass through a node simultaneously. The main characteristic we focus on is the average velocity
of the clusters with delays taken into account. The contours have the same length, taken to
be unity. The nodes divide each contour into parts one of which has length $d$, and the other,
length 1 − $d$. Previously, this system was investigated under the assumption that the clusters
have the same length. It turned out that the behavior of the system depends qualitatively on
how the directions of motion of the clusters correlate with each other. In this paper we explore
the behavior of the system in the case where the clusters differ in length.
