Title: Study of chaotic dynamical systems via time-frequency analysis
Abstract: Time-frequency representation is helpful in studying the frequency pattern of nonlinear dynamical systems. Specifically, the Wigner-Gabor-Qian (WGQ) spectrogram, a synthesis of the Wigner distribution and the Gabor expansion through time-frequency distribution series, is a very useful tool because it achieves a good solution in time-frequency representation as well as few cross-interferences. The fine structure of frequency patterns, such as sub-harmonics of chaotic dynamics, can be revealed by the WGQ spectrogram. Frequency patterns of chaos and noise are studied for system identification in empirical analysis. Time-frequency analysis provides important information for pattern recognition and system identification in analyzing empirical time series.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
Publication Year: 2002
Publication Date: 2002-12-17
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 13
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