We present a chemical-reaction model to describe the Mexican wave (La Ola) in football stadia. The spectator's action is described in terms of chemical reactions. The model is governed by three reaction rates k1,k2, and k3. We study the nonlinear waves on one- and two-dimensional lattices. The...

A two-lane traffic model is presented to investigate traffic jams induced by a car accident. The model is an extension one of the optimal velocity model taking into account lane changing in the open flow. We study the jammed states and the fine structures of jams. It is shown that there are two...

We study the vehicular traffic through a sequence of traffic lights on a highway, where signals turn on and off periodically with the green-wave strategy. We present the dynamical model of vehicular traffic controlled by green-wave signals, where a vehicle is inhibited to pass other vehicles....

We study the dynamic behavior of vehicular traffic in a two-route system with a series of signals (traffic lights) at low density where the number of signals on route A is different from that on route B. We investigate the dependence of the tour time on the route for some strategies of signal...

We study the dynamical behavior of elevators in the morning peak traffic. We present a stochastic model of the elevators to take into account the interactions between elevators through passengers. The dynamics of the elevators is expressed in terms of a coupled nonlinear map with noises. The...

The effect of partition line on the pedestrian counter flow is investigated under the open boundaries by using the lattice-gas model of biased random walkers. There are two types of walkers without the back step: the one is the walker going to the right and the other is the walker going to the...

We present the dynamical model of the multiple production lines composed of M parallel and u series machines. We extend the single-series production line model to the multiple production lines. We study the effect of the multiple lines on the dynamical behavior of the production process. We...

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...

The lattice gas model of pedestrians is presented to mimic shifting of the audience through a gate. The optimal admission time for shifting the audience is related with the jamming transition of pedestrian flow. When the audience goes away through a gate, a clogging occurs and the flow rate...

We study the dynamical phase transitions in the elevator traffic during the morning peak period. We apply the coupled nonlinear map model to the dynamics of M elevators. We investigate the effect of elevator's number M on the dynamical transition. It is shown that the dynamical transitions occur...