Using the Phase Space Reconstruction Technique(PSRT) and correlation dimension method,the evidences of the existence of chaos are found in the time series of the monthly and daily Brent and WTI crude oil price fluctuations in the markets.

Application to fault diagnosis of reciprocating compressor based on emprical mode decomposition and correlation dimension;

Application of correlation dimension and EMD-based AR model in the fault diagnosis;

Determination method and diagnosis application of non-scale range of correlation dimension;

Study of the Parameters Used in Calculating Correlative Dimension Based on G. P Algorithm;

Feature Extraction of Surface Electromyography by Introducing Correlative Dimension;

The nonlinear parameters (correlative dimensions, maximum Lyapunov exponents) of the HRV signals extracted from normal and arrhythmia ECG signals were calculated, and the results showed that the nonlinear parameters calculated from the HRV signals were helpful for analyzing human s hea.

The fractal characteristics of vibration process of chippers chief shaft are analyzed based on the theory of fractal application by analyzing the actual vibration signals of chippers chief shaft and calculating the correlation dimensions of the signals.

Aiming at the non-linearity which exists in the bearing transmission but is ignored in the traditional fault diagnosis methods,the max-Lyapunov exponent was calculated in order to judge the system state of chaos firstly,then the correlation dimensions was calculated for the sake of judging the fault type.