TRAVELING WAVES, CATASTROPHES AND BIFURCATIONS IN A GENERIC SECOND ORDER TRAFFIC FLOW MODEL

DOI10.1142/S0218127413501915zbMath1284.90012MaRDI QIDQ5407266

Fernando Verduzco, Joaquín Delgado, Francisco A. Carrillo, Rosa María Velasco, Patricia Saavedra

Publication date: 7 April 2014

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

zbMATH Keywords

traveling wavesTakens-Bogdanov bifurcationtraffic flow

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) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Traveling wave solutions (35C07)

Related Items

Unnamed Item ⋮ Bifurcation analysis of macroscopic traffic flow model based on the influence of road conditions. ⋮ Bifurcation analysis of a heterogeneous continuum traffic flow model

Cites Work

• ANALYSIS OF THE TAKENS–BOGDANOV BIFURCATION ON m-PARAMETERIZED VECTOR FIELDS
• Nonlinear Effects in the Dynamics of Car Following
• On kinematic waves II. A theory of traffic flow on long crowded roads