混沌信号在子值域中的特性分析

ANALYSIS OF THE TIME SERIES ON THE VALUE SUBFIELD OF CHAOTIC SIGNALS

针对Ｋｅｎｔ映射产生的子值域时间序列，利用模糊延迟重构方法，从相关维数、最大Ｌｙａｐｕｎｏｖ指数及可预测性等几个方面进行了分析．研究发现，子值域时间序列同样表现出混沌序列的性质，但与原来的动力系统相比存在着一定的差异．

Abstract Generally,dynamical analysis is just for the time series on the whole of value field.The time series on a value subfield is a subseries of the one on the whole of value field,and appears to be sampled nonuniformly in time.In this paper,by using the method of fuzzy delay coordinate reconstruction,we study the correlation dimensions,the largest Lyapunov exponents and the prediction of the time series on the value subfield of Kent map. It is shown that the subseries behaves like some other chaotic time series,and the smaller the value subfield is, the larger the correlation dimensions and the largest the Lyapunov exponents are,and thus the poorer the characterization of prediction is.