Summary
2007 International Symposium on Nonlinear Theory and its Applications
2007
Session Number:18AM2-B
Session:
Number:18AM2-B-3
Time-Frequency method for Chaotic Flow
Junfeng Sun, Michael Small,
pp.196-199
Publication Date:2007/9/16
Online ISSN:2188-5079
DOI:10.34385/proc.41.18AM2-B-3
Summary:
Time-frequency analysis is performed for chaotic flow with a power spectra estimator based on the phase-space neighborhood. It is observed that the nearest neighbors, representing the state recurrences in the phase space reconstructed by time delay embedding, actually cover data segments with similar wave forms and thus possess redundant information, but recur with no obvious temporal regularity. To utilize this redundant recurrence information, a neighborhood-based spectra estimator is devised. Then time-frequency analysis with this estimator is performed for the noisy Lorenz time series and colored noise. Features revealed by the spectrogram can be used to distinguish noisy chaotic flow from colored noise.