Behavior Analysis of VanDerPol Oscillator Based on Phase Space Reconstruction Methods

Abstract

VanDerPol oscillator behavior under the excitation of weak signal is researched in this paper, the methods of phase space reconstruction 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, we select the VanDerPol oscillator to analysis the different parameters influence on chaotic system, the numeric analysis prove that if select appropriate embedding dimension and delay time, the remodeling results can reflect the dynamic characteristics of the original signal.