关键词: 混沌时间序列, Lyapunov指数谱, 最小二乘支持向量机, 交通流, 超混沌

Abstract: In order to calculation Lyapunov exponent spectrum of unknown system，firstly，reconstruct phase space of observed one-dimensional time series，secondly，use Least-Squared Support Vector Machine（LS-SVM） approximate dynamical equation of reconstruction system and calculation Lyapunov exponent spectrum by Jacobian matrix.Lyapunov exponent spectrum of Henon system has been calculated by proposed method，result is precise even length of time series is shorter than 1000.Lyapunov exponent spectrum of real traffic flow time series of different condition has been calculated，the result shows that：in crowded condition，system is hyper chaotic because there are two or more positive Lyapunov exponents；in synchronized condition，system is chaotic or hyper chaotic there are one or more positive Lyapunov exponents；in jammed condition，system is not chaotic because all Lyapunov exponents are smaller than zero.

Key words: chaotic time series, Lyapunov exponent spectrum, Least-Squared Support Vector Machine（LS-SVM）, traffic flow, hyper chaotic