Chaotic Ising-like dynamics in traffic signals

Abstract

The green and red lights of a traffic signal can be viewed as the up and down states of an Ising spin. Moreover, traffic signals in a city interact with each other, if they are controlled in a decentralised way. In this paper, a simple model of such interacting signals on a finite-size two-dimensional lattice is shown to have Ising-like dynamics that undergoes a ferromagnetic phase transition. Probabilistic behaviour of the model is realised by chaotic billiard dynamics that arises from coupled non-chaotic elements. This purely deterministic model is expected to serve as a starting point for considering statistical mechanics of traffic signals.

DOI: 10.1038/srep01127

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Cite this paper

@inproceedings{Suzuki2013ChaoticID, title={Chaotic Ising-like dynamics in traffic signals}, author={Hideyuki Suzuki and Jun-ichi Imura and Kazuyuki Aihara}, booktitle={Scientific reports}, year={2013} }