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 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 study the effect of continuous speedup on the dynamical behavior of a single shuttle bus. We present a nonlinear map model of a shuttle bus to take into account the continuous speedup. When the shuttle bus is delayed, the bus speeds up continuously to overcome the delay. If the shuttle bus...

We study the dynamical behavior of vehicular traffic through a series of traffic signals. The vehicular traffic is controlled with the use of the cycle time generated by a logistic map. Each signal changes periodically with a cycle time, and the cycle time varies from signal to signal. The...

We study the dynamical behavior of shuttle buses on a route where N buses shuttle between an origin and a destination repeatedly. We present the dynamic model of shuttle buses to take into account the speed control depending on time headway between buses. The model is described by N-dimensional...

We study the dynamical behavior of a cyclic bus on a circular route with many bus stops, when the cyclic bus passes some bus stops without stopping to retrieve the delay. The recurrent time (one period) is described in terms of a piecewise nonlinear map. It is found that the cyclic bus exhibits...

We study the dynamical behavior of a single vehicle moving through a sequence of traffic lights, where the vehicle speeds up to retrieve the delay induced by traffic lights and the traffic lights turn on and off periodically on a single-lane highway. The dynamical model of the vehicle controlled...