应用元胞自动机模型对交通流混沌的研究

该文应用一维元胞自动机多车道模型分析研究交通流系统中出现的混沌现象。文中采用的三车道模型比以前的双车道的模型更具有实用价值。模型中用爱尔朗分布形成换道概率、加速、减速概率，使其能更逼真地再现贴近实际交通流的不确定性。在此基础上，用MATLAB进行了计算机仿真试验，试验中分别记录了车辆在自由运动和在有交通事故发生时的车间距，用非线性分析软件TISEAN计算出该车间距数据序列的lyapunov值，进而论证了交通流中混沌现象的存在性。

Study on Chaos in Traffic Flow Based on Cellular Automata Model

One - dimensional cellular automation of three - lane road has been used to study chaos in traffic flow. The new model is more practical than the two driveways model used before. In the new model, the probabilities of lane change, acceleration and brake follow the broad general distribution--the Erlang distribution. So the model can simulate the uncertainty of real traffic flow more lifelike. The simulation process is programmed by MATLAB. The data of space headways in random and in traffic accident are recorded. The Lyapunov spectrum of the time serials are computed by the software package for non - linear analysis TISEAN. The results prove the existence of chaos in traffic flow.