A new method of global prediction for chaotic time series based on continued fractions
Zhang Sen, Xiao Xian-Ci, (1)电子科技大学电子工程学院,成都 610054; (2)电子科技大学电子工程学院,成都 610054;宜宾学院数学系,四川 644007 · Acta Physica Sinica · 2005
A non-linear predictable global model for chaotic time series is built based on continued fractions after developing the method of polynomial approximants in theory. We can analyze the characteristics and realize the prediction by substituting the model for the equation of chaotic time series. The results of theoretical analysis and computer simulation have proved this method to be practically feasible for predicting a chaotic series accurately and give its explicit expression.