Bifurcation analysis of a class of 'car following' traffic models

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Erscheinungsjahr:
2004
Medientyp:
Text
Schlagworte:
  • Hopf bifurcation
  • Numerical continuation
  • Traffic
Beschreibung:
  • We consider a follow-the-leader traffic model describing the dynamics of N cars on a circular road, where each car driver chooses his acceleration according to a certain law. The model is represented by a nonlinear system of ODE's. This model is known to have a solution with constant velocities and headways which, in a certain parameter regime, is stable. Varying the density of the cars, we prove that the loss of stability is generally due to a Hopf bifurcation. Also we investigate numerically the global bifurcation diagram for periodic solutions and obtain a complete picture of the dynamics of general optimal velocity models. Finally, some analytical results on the stability of solutions in the case of non-equal drivers are given. © 2004 Elsevier B.V. All rights reserved.
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  • info:eu-repo/semantics/closedAccess
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Forschungsinformationssystem der UHH
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oai:www.edit.fis.uni-hamburg.de:publications/6818894d-7ad2-4648-a4d9-9cf99a91ae1c