Open AccessA new method of global prediction for chaotic time series based on continued fractions
Author(s) -
Sen Zhang,
Xin Xiao
Publication year - 2005
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.54.5062
Subject(s) - chaotic , series (stratigraphy) , computer science , mathematics , time series , expression (computer science) , chaotic systems , polynomial , statistical physics , algorithm , mathematical optimization , mathematical analysis , artificial intelligence , physics , machine learning , paleontology , biology , programming language
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.