Stabilization analysis and modified Korteweg-de Vries equation in a cooperative driving system.

@article{Ge2005StabilizationAA,
  title={Stabilization analysis and modified Korteweg-de Vries equation in a cooperative driving system.},
  author={Hongxia Ge and Shiqiang Dai and Yu Xue and L. Y. Dong},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2005},
  volume={71 6 Pt 2},
  pages={
          066119
        }
}
  • H. Ge, S. Dai, +1 author L. Dong
  • Published 2005
  • Mathematics, Medicine
  • Physical review. E, Statistical, nonlinear, and soft matter physics
Two lattice traffic models are proposed by incorporating a cooperative driving system. The lattice versions of the hydrodynamic model of traffic flow are described by the differential-difference equation and difference-difference equation, respectively. The stability conditions for the two models are obtained using the linear stability theory. The results show that considering more than one site ahead in vehicle motion leads to the stabilization of the system. The modified Korteweg-de Vries… Expand

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