Abstract
A technique based on the power cepstrum has been developed to analyze and characterize data of various nonlinear and chaotic motions. For repeatability and ready availability, nonlinear response data of a Duffing oscillator and van der Pol oscillator, generated numerically by the fourth order Runge-Kutta algorithm, were used in the investigation. Results obtained by the proposed technique using spectrum, cepstrum, and specepstrum which is defined as the spectrum of the logarithmic cepstrum, indicate that it is superior to methods previously available in the literature.
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To, C.W.S., Jin, Z.S. Characterization of nonlinear and chaotic motions by the cepstral analysis. Nonlinear Dyn 2, 353–365 (1991). https://doi.org/10.1007/BF00045669
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DOI: https://doi.org/10.1007/BF00045669