Global Bifurcation Diagram for the Kerner–Konhäuser Traffic Flow Model

DOI10.1142/S0218127415500649zbMath1317.34074arXiv1311.4119MaRDI QIDQ5501645

Joaquín Delgado, Patricia Saavedra

Publication date: 5 August 2015

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.4119

zbMATH Keywords

traveling wavesBautin bifurcationcontinuous traffic flowdegenerate Takens-Bogdanov bifurcation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Traffic problems in operations research (90B20) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Traveling wave solutions (35C07)

Related Items (7)

An extended car-following model accounting for the average headway effect in intelligent transportation system ⋮ Unnamed Item ⋮ On the decay of solutions of the linearized equations of conservation equations with viscosity and relaxation ⋮ Bifurcation analysis of an extended macro model considering time delay and anticipation effect ⋮ Bifurcation analysis of macroscopic traffic flow model based on the influence of road conditions. ⋮ Bifurcation analysis of a heterogeneous continuum traffic flow model ⋮ High-Order Analysis of Global Bifurcations in a Codimension-Three Takens–Bogdanov Singularity in Reversible Systems

Cites Work

• ANALYSIS OF THE TAKENS–BOGDANOV BIFURCATION ON m-PARAMETERIZED VECTOR FIELDS
• PRACTICAL COMPUTATION OF NORMAL FORMS ON CENTER MANIFOLDS AT DEGENERATE BOGDANOV–TAKENS BIFURCATIONS

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