混沌时间序列的Kolmogorov熵的应用研究

Study on Kolmogorov Entropy Based on Chaotic Time Series

论文提出了一种在m维相空间中计算混沌时间序列的Kolmogorov熵的方法,以Rossler混沌系统和Lorenz混沌系统为例验证了算法的准确性,其仿真结果与系统本身具有基本相同的计算精度;分析了噪声对这种方法的影响,结果表明这种算法可以有效克服采样过程中常常出现的噪声对信号的干扰,得到较为满意的结果。将其应用于脑血管血流动力学中,得到了与理论分析相一致的结果。

In this paper,it is presented that an algorithm of Kolmogorov entropy based on the chaotic time series in ndimensional space is presented.And its veracity is proved by tow examples with Rossler system and Lorenz chaotic system.The simulation results have the almost same calculating accuracy as that of the system.The influence of the noise intensity for the method is analyzed with system.It shows that this method can efficiently eliminate the effect of noise during the sampling and can obtain the satisfactory results.When it is applied to the homodynamic of cerebrovascular, the results obtained are consistent with what it is analyzed.