Title :
Nonlinear dynamics analysis of electrical signal time series evoked by acupuncture
Author :
Li, Sun ; Jiang, Wang ; Bin, Deng ; Li, Zhang
Author_Institution :
Electr. Eng. Sch., Tianjin Univ., China
Abstract :
Different kinds of the acupuncture methods to the Zu´san´li point can evoke various electrical signal time series, and nonlinear dynamics method is used to analyse them. We reconstruct the phase space attractor and get the time delay through calculating mutual information function. And the Cao´s method is used to determine the optimal embedding dimension. The time series are considered chaotic by plotting the attractor, qualitatively. The largest Lyapunov exponents (LLE) are computed based on the Takers´ embedding theorem. The LLEs of the time series are positive. Finally the difference among various acupuncture methods is discussed.
Keywords :
Lyapunov methods; delays; medical signal processing; nonlinear dynamical systems; optimisation; signal reconstruction; time series; Cao method; Takens embedding theorem; acupuncture method; electrical signal time series; largest Lyapunov exponents; mutual information function; nonlinear dynamics analysis; optimal embedding dimension; phase space attractor; time delays; Chaos; Delay effects; Embedded computing; Mutual information; Signal analysis; Sun; Time series analysis;
Conference_Titel :
Intelligent Control and Automation, 2004. WCICA 2004. Fifth World Congress on
Print_ISBN :
0-7803-8273-0
DOI :
10.1109/WCICA.2004.1343786