@article{ref1,
title="Self-Similar Behavior of a Single Vehicle Through Periodic Traffic Lights",
journal="Physica A: statistical mechanics and its applications",
year="2005",
author="Nagatani, Takashi",
volume="347",
number="",
pages="673-682",
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 dynamical behavior of signal traffic at a low density changes at ts=l/v+[tau], where l is the distance between the traffic lights, v the mean speed of the vehicle, and [tau] the delay of traffic light at the green-wave strategy. When the cycle time ts of traffic lights is less than (l/v+[tau]), the vehicle exhibits the self-similar behavior, while it shows the periodic behavior for ts [gt] (l/v+[tau]). The characteristics of the self-similar behavior is clarified.   <p>Language: en</p>",
language="en",
issn="0378-4371",
doi="",
url="http://dx.doi.org/"
}