A road traffic model with overtaking: Continuation of periodic patterns using symmetry

• ID: 2545, RIV: 10084022
• ISSN: 0094-243X, ISBN: not specified
• source: AIP Conference Proceedings
• keywords: traffic; microscopic models; overtaking; piecewise-smooth dynamical systems
• authors: Lubor Buřič, Vladimír Janovský
• authors from KNM: Janovský Vladimír

Abstract

A microscopic model of the traffic flow of three identical cars is considered. The model can be classified as a Filippov system. It admits several classes of oscillatory solutions (patterns). We explore the possibility to continue the patterns with respect to parameters. As a particular example, we continue the pattern called the rotating wave. The idea is to exploit the intrinsic symmetry.