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 a few shuttle buses that pass each other freely on a cyclic route. We present a discrete dynamical model of the shuttle buses to take into account the interactions among buses and passengers. It is found that the bus exhibits a chaotic motion by the free...

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 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...