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The dynamics of an experimental electrodynamic loudspeaker is studied by using the tools of chaos theory and time series analysis. Delay time, embedding dimension, fractal dimension and other empirical quantities are determined from experimental data. Particular attention is paid to issues of stationarity in the system in order to identify sources of uncertainty. Lyapunov exponents and fractal dimension are measured using several independent techniques. Results are compared in order to establish independent confirmation of low dimensional dynamics and a positive dominant Lyapunov exponent. We thus show that the loudspeaker may function as a chaotic system suitable for low dimensional modeling and the application of chaos control techniques.
Author (s): Reiss, Joshua;
Djurek, Ivan;
Petosic, Antonio;
Djurek, Danijel;
Affiliation:
Queen Mary, University of London; University of Zagreb; AVAC
(See document for exact affiliation information.)
AES Convention: 125
Paper Number:7563
Publication Date:
2008-10-06
Session subject:
Nonlinearities in Loudspeakers
DOI:
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Reiss, Joshua; Djurek, Ivan; Petosic, Antonio; Djurek, Danijel; 2008; Confirmation of Chaos in a Loudspeaker System Using Time Series Analysis [PDF]; Queen Mary, University of London; University of Zagreb; AVAC; Paper 7563; Available from: https://aes.org/publications/elibrary-page/?id=14715
Reiss, Joshua; Djurek, Ivan; Petosic, Antonio; Djurek, Danijel; Confirmation of Chaos in a Loudspeaker System Using Time Series Analysis [PDF]; Queen Mary, University of London; University of Zagreb; AVAC; Paper 7563; 2008 Available: https://aes.org/publications/elibrary-page/?id=14715
@inproceedings{Reiss2008confirmation,
title={{Confirmation of Chaos in a Loudspeaker System Using Time Series Analysis}},
author={Reiss, Joshua and Djurek, Ivan and Petosic, Antonio and Djurek, Danijel},
year={2008},
month={oct},
booktitle={Journal of the Audio Engineering Society},
publisher={Paper 7563; AES Convention 125; October 2008},
number={7563},
organization={AES},
}
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