Open AccessA method of detecting the unpredictability of chaotic signals based on periodic orbit statistics
Author(s) -
Jian Jin,
Qiu Shui-sheng,
Li Xie,
Mingku Feng
Publication year - 2008
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.57.2743
Subject(s) - chaotic , orbit (dynamics) , periodic orbits , saddle , computer science , attractor , statistics , regression , statistical physics , chaotic systems , algorithm , physics , mathematics , mathematical analysis , artificial intelligence , mathematical optimization , aerospace engineering , engineering
A method of detecting the unpredictability of chaotic signals is put forward based on periodic orbit statistics. Chaotic time sequences come from analog circuit and numerical simulation respectively. Hot saddle periodic orbits are found and its regression spectrum and regression frequency are investigated. The results show that the method is adequate for detecting the unpredictability of chaotic systems.