Wavelet analysis of time series for the Duffing oscillator: The detection of order within chaos

1992 ◽  
Vol 69 (18) ◽  
pp. 2607-2610 ◽  
Author(s):  
Delmar Permann ◽  
Ian Hamilton
Keyword(s):  
Time Series ◽  
Wavelet Analysis ◽  
Duffing Oscillator ◽  
Analysis Of Time Series

WAVELET ANALYSIS OF TIME-SERIES: COHERENT STRUCTURES, CHAOS AND NOISE

1999 ◽  
Vol 09 (03) ◽  
pp. 455-471 ◽  
Author(s):  
W. J. STASZEWSKI ◽  
K. WORDEN
Keyword(s):  
Time Series ◽  
Wavelet Analysis ◽  
Coherent Structures ◽  
Wavelet Transforms ◽  
Time Series Data ◽  
Series Data ◽  
Different Types ◽  
Analyze Time Series Data ◽  
Analyze Time Series ◽  
Analysis Of Time Series

The continuous and orthogonal wavelet transforms are used to analyze time-series data. The analysis involves signal decomposition into scale components using both Grossman–Morlet and Daubechies type wavelets. A number of simulated and experimental data vectors exhibiting different types of coherent structures, chaos and noise is analyzed. The study shows that wavelet analysis provides a unifying framework for the description of many phenomena in time-series.

Correlation in the heart rate data

1998 ◽  
Vol 2 ◽  
pp. 141-148
Author(s):  
J. Ulbikas ◽  
A. Čenys ◽  
D. Žemaitytė ◽  
G. Varoneckas
Keyword(s):  
Nonlinear Dynamics ◽  
Experimental Data ◽  
Heart Rate ◽  
Time Series ◽  
Cardiovascular Function ◽  
Statistical Properties ◽  
Rate Data ◽  
Heart Rate Data ◽  
Dynamical Nature ◽  
Analysis Of Time Series

Variety of methods of nonlinear dynamics have been used for possibility of an analysis of time series in experimental physiology. Dynamical nature of experimental data was checked using specific methods. Statistical properties of the heart rate have been investigated. Correlation between of cardiovascular function and statistical properties of both, heart rate and stroke volume, have been analyzed. Possibility to use a data from correlations in heart rate for monitoring of cardiovascular function was discussed.

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