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

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.