Analysis of Chaotic Behavior Based on Phase Space Reconstruction Methods

Abstract

The methods of phase space reconstruction used on chaotic time series analysis can realized the chaotic model, it help us to figure out the parameters of chaotic system. We give ways of how to select the parameters of time delay value and embedding dimension in phase space reconstruction, also we select the duffing oscillator system to analysis the different parameters influence on chaotic system, the numeric analysis prove that the phase space reconstruction method can recover the chaotic model parameters, if select appropriate embedding dimension and delay time, the remodeling results can reflect the dynamic characteristics of the original signal.