We study the freezing transition in the counter flow of pedestrians within the channel numerically and analytically. We present the mean-field approximation (MFA) model for the pedestrian counter flow. The model is described in terms of a couple of nonlinear difference equations. The...

We study the effect of signals on the vehicular traffic in the two-route system at the tour-time feedback strategy where the vehicles move ahead through a series of signals. The Nagel–Schreckenberg model is applied to the vehicular motion. The traffic signals are controlled by both cycle time...

We study the dynamical behavior of a recurrent bus on a circular route with many bus stops when the recurrent bus passes some bus stops without stopping. The recurrent time (one period) is described in terms of a nonlinear map. It is shown that the recurrent bus exhibits the complex periodic...

Phase transitions and critical phenomena are investigated in the two-dimensional traffic flow on the triangular lattice numerically and analytically. The two-dimensional traffic model on the square lattice is extended to the traffic flow on the triangular lattice where the three roads cross on a...

We study the effect of restart at signals on the vehicular traffic controlled by a series of signals. The Nagel–Schreckenberg model (NS model) and Fukui–Ishibashi model (FI model) are applied to the vehicular motion. In the FI model, the step-by-step acceleration is not taken into account...

The merging flow model without a bottleneck is presented to mimic the pedestrian channel flow with a meeting point. Two channel flows in front of the meeting point interact one another when the exit density is higher than the maximal-current density. The distinct phase transition occurs by...

Pedestrian counter flow is investigated by experiment and simulation. The experiment is performed for the channel with open boundaries. Two types of walkers, going to the right and to the left, are taken into account. The video recordings and measurements of individual arrival times are...

We investigate the dynamic behavior of shuttle buses when passengers switch to another bus B on route B from bus A on route A. By switching from bus A to bus B, the outflow of passengers from route A (inflow of passengers into route B) changes to the periodic inflow of a square wave. The...

We present the stochastic nonlinear-map model of vehicular traffic controlled by irregular signals. The signal’s interval, the split of signal, and the offset time changes irregularly from signal to signal on a roadway. We study the effect of irregularity on dynamical behavior of vehicular...

We study the unidirectional flow of mobile objects through obstacles on a square lattice. Two models are presented: one is the lattice gas model consisting of translational particles and the other is that of turning particles. Fundamental diagrams for the two models are presented. The traffic...