Abstract

In this chapter, we present an overview of the piecewise smooth model and simulation of a traffic system, characterized by a single vehicle traveling through a sequence of traffic lights that turn "on" and "off" with a specific frequency and a phase. The model includes three main dynamical modes: accelerated, decelerated, and null state. We show the description of the mathematical modeling used to simulate the system. The simulation was developed under an event-driven strategy and implemented in Matlab. Regarding the numerical analysis, we built a bifurcation diagram where the parameter under variation is the cycle of traffic lights. As a principal result, we evidence the effects of the cycle of traffic light in the dynamical behavior of the system.