The Computing of Maximum Lyapunov Exponent in Traffic Flow Applying the Improved Small-data Method
应用改进型小数据量法计算交通流的最大Lyapunov 指数

The maximum lyapunov exponent is a very important measure to describe nonlinear system.Microcosmic simulation traffic flow has typical nonlinear feature.So it is important for the research on characteristic of nonlinear in traffic flow to compute maximum lyapunov exponent in traffic flow.The small-data method is improved by false nearest neighbor method calculating embedding dimension.Firstly,the maximum lyapunov exponent of several typical nonlinear systems are computed by the improved small-data method in order to confirm the veracity of results of the algorithm.Secondly,time series of microcosmic simulation traffic flows generated by Bierley model and real vehicle flow are first researched with it.The results indicate that this method can compute maximum lyapunov exponents of them exactly and can be treated as a quantitative method for study of characteristic of nonlinear in traffic flow.