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Higher-Order spectra of nonlinear polynomial models for Chua's circuit

Elgar, Steve, Vanhoff, Barry, Aguirre, Luis A., Freitas, Ubiratan S., & Chandran, Vinod (1998) Higher-Order spectra of nonlinear polynomial models for Chua's circuit. International Journal of Bifurcation and Chaos (ijbc), 8(12), pp. 2452-2431.

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Abstract

Polynomial models are shown to simulate accurately the quadratic and cubic nonlinear interactions (e.g. higher-order spectra) of time series of voltages measured in Chua's circuit. For circuit parameters resulting in a spiral attractor, bispectra and trispectra of the polynomial model are similar to those from the measured time series, suggesting that the individual interactions between triads and quartets of Fourier components that govern the process dynamics are modeled accurately. For parameters that produce the double-scroll attractor, both measured and modeled time series have small bispectra, but nonzero trispectra, consistent with higher-than-second order nonlinearities dominating the chaos.

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ID Code: 46418
Item Type: Journal Article
DOI: 10.1142/S0218127498001935
ISSN: 0218-1274
Divisions: Past > QUT Faculties & Divisions > Faculty of Built Environment and Engineering
Past > Schools > School of Engineering Systems
Deposited On: 12 Oct 2011 03:20
Last Modified: 12 Oct 2011 03:38

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