Velocity Spectrum of Elementary Bidirectional Traffic Model as Buslaev-Type

In the paper, an approach is developed such that this approach allows to study the behavior of a model of motion of particles of two types (in two orthogonal directions) on an orthogonal lattice of the BML model type. It is shown that this model is a special case of Buslaev nets as dynamical systems on compact underlying manifolds. According to the concept of Buslaev networks, the system state space is constructed and the trajectories generated by each state are analyzed. The result is the construction of the velocity spectrum of the system and the stratification of the state space into limit cycles. The case of 2×2 lattice is fully investigated and the velocity spectrum is constructed. For the case of 2×3, examples of non-recurrent states that are absent in the case of 2×2 are found.