Bifurcation Analysis of the Full Velocity Difference Model
Bifurcation Analysis of the Full Velocity Difference Model
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DOI：
10.1088/0256-307x/27/4/040501
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发表时间：
2010-03
影响因子：
3.5
通讯作者：
Jin Yan-fei;Xu Meng
中科院分区：
文献类型：
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作者：
Jin Yan-fei;Xu Meng
研究了全速差交通流模型的分岔现象。应用霍普夫定理，分析霍普夫分岔计算和临界道路长度确定为任意数量的车辆。结果表明，系统的Hopf分岔临界点位于线性失稳区域的边界上。均匀交通流越过边界后，通过Hopf分岔失去线性稳定性，出现振荡。
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.