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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 |
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JIN Yan-Fei, XU Meng 2010 Chin. Phys. Lett. 27 040501 |
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Abstract 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.
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05.45.-a
89.40.-a
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Received: 03 September 2009
Published: 27 March 2010
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