A road traffic model with overtaking: Continuation of the oscillatory patterns.

• ID: 2508, RIV: 10028772
• ISSN: not specified, ISBN: 978-3-540-69776-3
• source: Numerical Mathematics and Advances Applications, Proceedings of ENUMATH 2007, the 7th European Conference on Numerical Mathematics and Advances Applications
• keywords: traffic; model; overtaking; Continuation; oscillatory; patterns
• authors: Vladimír Janovský, Lubor Buřič
• authors from KNM: Janovský Vladimír

Abstract

We consider traffic flow consisting of three cars on a circular road. The aim is to investigate periodic patterns of the flow. Formulating the flow model as a Filippov system, we continue the patterns with respect to a parameter.