Section 16

You have free access to this content

Numerical bifurcation analysis of a ‘car-following’ model

  1. Gabriele Sirito,
  2. Ingeniun Gasser,
  3. Tilman Seidel

Article first published online: 13 DEC 2004

DOI: 10.1002/pamm.200410257

Issue

PAMM

PAMM

Volume 4, Issue 1, pages 552–553, December 2004

Additional Information

How to Cite

Sirito, G., Gasser, I. and Seidel, T. (2004), Numerical bifurcation analysis of a ‘car-following’ model. Proc. Appl. Math. Mech., 4: 552–553. doi: 10.1002/pamm.200410257

Author Information

  1. Fachbereich Mathematik, Bundestrasse 55, D-20146, Hamburg

Publication History

  1. Issue published online: 13 DEC 2004
  2. Article first published online: 13 DEC 2004

SEARCH

SEARCH BY CITATION

ARTICLE TOOLS

Get PDF (215K)

Abstract

We study a system of ordinary differential equations describing a car-following model for the motion of N car around a circular highway. All cars behave in the same way. The acceleration of each car is determined as a function of the headway (optimal velocity function). This model is known to have a solution with constant velocities and headways which, in a certain parameter regime, is stable and, varying the density of the cars, the loss of stability is generally due to a super- or subcritical Hopf bifurcation. Guided by analytical results, we numerically investigate the global bifurcation diagram for periodic solutions and obtain a complete picture of the dynamics of the model. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

Get PDF (215K)