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

• ID: 2421, RIV: 10027276
• ISSN: not specified, ISBN: 978-0-7354-0705-3
• source: International Conference on Numerical Analysis and Applied Mathematics 2009
• keywords: traffic; model; overtaking; Continuation; periodic; patterns; using; symmetry
• 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.