| 拥挤交通流非线性模型及仿真 |
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| 引用本文： | 王正. 拥挤交通流非线性模型及仿真[J]. 东南大学学报(自然科学版), 2009, 0(Z1) |
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| 作者姓名： | 王正 |
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| 作者单位： | 海军航空工程学院青岛分院仪电控制系; |
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| 摘 要： | 提出了一种新的拥挤交通流非线性模型.该模型中包括了匝道口附近的交通流模型,匝道口进出车辆的流量与主路的车流相耦合.并提出了一个重要的假设,即交通流量能够在有限的时间内对局部密度的变化做出响应.该模型由2个偏微分方程(PDE)和1个与偏微分方程相关联的常微分方程(ODE)组成.在这个简化模型中,从自由流向同步流的转换可以看成是一个具有滞后作用的临界Hopf分岔.最后通过数值模拟进行了从自由流到拥挤交通流的瞬态动力学的仿真,得到了各变量的分岔图.
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| 关 键 词： | 交通流 拥挤流 非线性模型 分岔 时滞 |
A nonlinear model and simulation for congested traffic flow |
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| Wang Zheng. A nonlinear model and simulation for congested traffic flow[J]. Journal of Southeast University(Natural Science Edition), 2009, 0(Z1) |
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| Authors: | Wang Zheng |
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| Affiliation: | Wang Zheng(Department of Instrument , Electric Engineering,Qingdao Branch of Naval Aeronautical Engineering Institute,Qingdao 266041,China) |
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| Abstract: | A nonlinear model for traffic flow is presented.The model includes modelling of traffic flow near ramps,where the in/out flux of vehicles is coupled with the mainstream vehicles.The main assumption is made that the flux has a finite time response to local density disturbances.The model is composed of two partial differential equations(PDEs) coupled with an ordinary differential equation(ODE).In this truncated model,the conversion from the free flow to the congested flow is identified as a subcritical Hopf b... |
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| Keywords: | traffic flow congested flow nonlinear model bifurcation hysteresis |
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