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Higher order spectral analysis of Chua's circuit

Elgar, Steve & Chandran, Vinod (1993) Higher order spectral analysis of Chua's circuit. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 40(10), pp. 689-692.

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Abstract

Higher order spectral analysis is used to investigate nonlinearities in time series of voltages measured from a realization of Chua's circuit. For period-doubled limit cycles, quadratic and cubic nonlinear interactions result in phase coupling and energy exchange between increasing numbers of triads and quartets of Fourier components as the nonlinearity of the system is increased. For circuit parameters that result in a chaotic Rossler-type attractor, bicoherence and tricoherence spectra indicate that both quadratic and cubic nonlinear interactions are important to the dynamics. When the circuit exhibits a double-scroll chaotic attractor the bispectrum is zero, but the tricoherences are high, consistent with the importance of higher-than-second order nonlinear interactions during chaos associated with the double scroll.

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8 citations in Scopus
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7 citations in Web of Science®

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ID Code: 46405
Item Type: Journal Article
DOI: 10.1109/81.246144
Divisions: Past > QUT Faculties & Divisions > Faculty of Built Environment and Engineering
Past > Schools > School of Engineering Systems
Deposited On: 12 Oct 2011 08:46
Last Modified: 12 Oct 2011 08:46

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