Bifurcation Analysis of the Full Velocity Difference Model
JIN Yan-Fei1, XU Meng2
1Department of Mechanics, Beijing Institute of Technology,Beijing 1000812School of Traffic and Transportation, Beijing Jiaotong University,Beijing 100044
Bifurcation Analysis of the Full Velocity Difference Model
JIN Yan-Fei1, XU Meng2
1Department of Mechanics, Beijing Institute of Technology,Beijing 1000812School of Traffic and Transportation, Beijing Jiaotong University,Beijing 100044
Bifurcation is investigated with the full velocity difference traffic model. Applying the Hopf theorem, an analytical Hopf bifurcation calculation is performed and the critical road length is determined for arbitrary numbers of vehicles. It is found that the Hopf bifurcation critical points locate on the boundary of the linear instability region. Crossing the boundary, the uniform traffic flow loses linear stability via Hopf bifurcation and the oscillations appear.
Bifurcation is investigated with the full velocity difference traffic model. Applying the Hopf theorem, an analytical Hopf bifurcation calculation is performed and the critical road length is determined for arbitrary numbers of vehicles. It is found that the Hopf bifurcation critical points locate on the boundary of the linear instability region. Crossing the boundary, the uniform traffic flow loses linear stability via Hopf bifurcation and the oscillations appear.
JIN Yan-Fei;XU Meng. Bifurcation Analysis of the Full Velocity Difference Model[J]. 中国物理快报, 2010, 27(4): 40501-040501.
JIN Yan-Fei, XU Meng. Bifurcation Analysis of the Full Velocity Difference Model. Chin. Phys. Lett., 2010, 27(4): 40501-040501.
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2010, Vol. 27 
