Open AccessStudy on the parameters determination for reconstructing phase-space in chaos time series
Author(s) -
Shuqing Zhang,
Jia Jian,
Gao Zhi Min,
Xu Han
Publication year - 2010
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.59.1576
Subject(s) - embedding , dimension (graph theory) , phase space , series (stratigraphy) , correlation dimension , chaotic , computer science , function (biology) , correlation integral , algorithm , signal (programming language) , mathematics , correlation , mathematical analysis , fractal dimension , physics , artificial intelligence , fractal , geometry , pure mathematics , quantum mechanics , paleontology , evolutionary biology , biology , programming language
The choice of delay time and embedding dimension have no correlation in the process of phase-space reconstruction. Based on this principle, a new idea for determining the embedding dimension is proposed. It uses CAO theory after determining the delay time by the mutual information function. Numerical simulations show that the method is applicable for determining the appropriate delay time and the best embedding dimension. The method can recover the original phase space from the time series effectively, and can be used as an effective method to identify the chaotic signal.