Citation

Nomura Y, Saito S, Ishiwata R, Sugiyama Y. Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 2016; 93(1): e012215.

Affiliation

Department of Complex Systems Science, Graduate School of Information Science, Nagoya University Nagoya 464-8601, Japan.

Copyright

(Copyright © 2016, American Physical Society, Publisher American Institute of Physics)

DOI

10.1103/PhysRevE.93.012215

PMID

26871081

Abstract

A dissipative system with asymmetric interaction, the optimal velocity model, shows a Hopf bifurcation concerned with the transition from a homogeneous motion to the formation of a moving cluster, such as the emergence of a traffic jam. We investigate the properties of Hopf bifurcation depending on the particle density, using the dynamical system for the traveling cluster solution of the continuum system derived from the original discrete system of particles. The Hopf bifurcation is revealed as a subcritical one, and the property explains well the specific phenomena in highway traffic: the metastability of jamming transition and the hysteresis effect in the relation of car density and flow rate.

Language: en