State Prediction of Chaotic System Based on ANN
Model
YUE Yi-hong;HAN Wen-xiu
【期刊名称】《系统科学与系统工程学报(英文版)》 【年(卷),期】2002(011)003
【摘要】The choice of time delay and embedding dimension is very important to the phase space reconstruction of any chaotic time series. In this paper, we determine optimal time delay by computing autocorrelation function of time series. Optimal embedding dimension is given by means of the relation between embedding dimension and correlation dimension of chaotic time series. Based on the methods above,we choose ANN model to appoximate the given true system. At the same time, a new algorithm is applied to determine the network weights. At the end of this paper, the theory above is demonstrated through the research of time series generated by Logistic map. 【总页数】7页(306-312)
【关键词】chaos;autocorrelation function;optimal embedding dimension;optimal time delay;Logistic map 【作者】YUE Yi-hong;HAN Wen-xiu
【作者单位】Management School, Tianjin University, Tianjin 300072, China;Management School, Tianjin University, Tianjin 300072, China 【正文语种】中文