Dynamical model for retrieval of tram schedule

Abstract

We present the dynamical model for retrieval of a tram schedule when trams arrive at stops slower or faster than the schedule. Trams speed up or stop shorter to retrieve the delay. The dynamics of the trams is expressed in terms of the nonlinear maps. We study the dynamical behavior of trams when they control the speed and stopping time to retrieve the schedule. The arrival times of trams exhibit the complex behavior with varying trips. The trams show the periodic and irregular (chaotic) motions even if there are no noises. The tram chaos is controlled by varying both stopping time and degree of speedup. The tram schedule is connected with the complex motions of trams. The region map (phase diagram) is shown to control the complex motions of trams.