Abstract
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 expressed in terms of the nonlinear map. The tour time of the vehicle exhibits a complex behavior, interacting with the sequence of traffic lights. The characteristics of the self-similar behavior is clarified. (Author/publisher)