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Characterization of nonlinear and chaotic motions by the cepstral analysis (1991)

To, C. W. S. ; Jin, Z. S.

Springer

Nonlinear dynamics 2 (1991), S. 353-365

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ISSN: 1573-269X

Keywords: Chaotic motions ; diagnostics ; specepstrum

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00045669

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