A kinetic clustering of cars is analyzed using a limiting procedure and a reductive perturbation method. By using the limiting procedure, the difference–difference equation to describe the clustering is obtained. We derive the coarse-grained equation describing the hydrodynamic mode, using the...

We study the effects of both split and cycle time on dynamical behavior of vehicles moving through a sequence of traffic lights on a highway, where the traffic lights turn on and off periodically. The dynamical model of vehicular traffic controlled by signals is expressed in terms of a nonlinear...

We introduce the preference parameter into the two-route dynamic model proposed by Wahle et al. The parameter represents the driver’s preference for the route choice. When the driver prefers a route, the traffic flow on route A does not balance with that on route B. We study the signal...

We study the dynamical behavior of N trams which move around the tram stops on a cyclic route repeatedly. We present the dynamical model for the cyclic trams. When a tram catches another tram, the tram restarts after delay time Tmin and keeps the minimal time headway Tmin. The distinct dynamical...

Pedestrian channel flow at a bottleneck is investigated under the open boundaries by using the lattice-gas model of biased random walkers. It is shown that a dynamical phase transition occurs from the free flow to the choking flow at a critical density pc with increasing density. The flow rate...

We study the dynamical behavior and transitions of shuttle buses in a transportation system reducing energy consumption. We present the nonlinear-map model for the dynamics of M buses. The motion of shuttle buses depends on the loading parameter and the number. The dependence of the fixed points...

We study the dynamical behavior of vehicular traffic through a sequence of traffic lights positioned self-similarly on a highway, where all traffic lights turn on and off simultaneously with cycle time Ts. The signals are positioned self-similarly by Cantor set. The nonlinear-map model of...

We study the dynamical behavior of shuttle buses on a route where N buses (N⩾2) shuttle between a starting point and a destination without passing. We present the dynamical model of N shuttle buses to take into account the interactions between buses and passengers. The model is described in...

We study the dynamical behavior of two shuttle buses on a route where two buses shuttle between a starting point and a destination. We present the dynamical model for the two shuttle buses. When a bus catches another, the bus restarts after delay time Tmin. The distinct dynamical states (the...

We study the dynamical behavior of a single vehicle moving through a sequence of traffic lights on a single-lane highway, where the traffic lights turn on and off periodically with the synchronized or green-wave strategies. The dynamical model of the vehicle controlled by traffic lights is...