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Bando, M., Hasebe, K., Nakayama, A., Shibata, A. and Sugiyama, Y. (1994) Structure Stability of Congestion in Traffic Dynamics. Japanese Journal of Industrial and Applied Mathematics, 11, 203-223.
http://dx.doi.org/10.1007/BF03167222

has been cited by the following article:

• TITLE: Traffic Dynamics and Congested Phases Derived from an Extended Optimal-Velocity Model

  AUTHORS: Makoto Watanabe

  KEYWORDS: Optimal-Velocity Model, Phase Transition, Synchronized Flow, Jam Formation Mechanism, Fundamental Diagram

  JOURNAL NAME: Engineering, Vol.6 No.8, July 21, 2014

  ABSTRACT: Dynamics is studied for one-dimensional single-lane traffic flow by means of an extended optimal-velocity model with continuously varied bottleneck strength for nonlinear roads. Two phases exist in this model such as free flow and wide moving jam states in the systems having relatively small values of the bottleneck strength parameter. In addition to the two phases, locally congested phaseappears as the strength becomes prominent. Jam formation occurs with the similar mechanism to the boomerang effect as well as the pinch one in it. Wide scattering of the flow-density relation in fundamental diagram is found in the congested phase.