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Subharmonic oscillation modeling and MISO Volterra series

Boaghe, O.M. and Billings, S.A. (2003) Subharmonic oscillation modeling and MISO Volterra series. IEEE Transactions on Circuits and Systems 1: Fundemental Theory and Applications, 50 (7). pp. 877-884. ISSN 1057-7122


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Subharmonic generation is a complex nonlinear phenomenon which can arise from nonlinear oscillations, bifurcation and chaos. It is well known that single-input–single-output Volterra series cannot currently be applied to model systems which exhibit subharmonics. A new modeling alternative is introduced in this paper which overcomes these restrictions by using local multiple input single output Volterra models. The generalized frequency-response functions can then be applied to interpret systems with subharmonics in the frequency domain.

Item Type: Article
Copyright, Publisher and Additional Information: Copyright © 2003 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Keywords: bifurcations, chaos, frequency-response functions, nonlinear oscillations, response spectrum map, subharmonics, Volterra series
Institution: The University of Sheffield
Academic Units: The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Automatic Control and Systems Engineering (Sheffield)
Depositing User: Sherpa Assistant
Date Deposited: 02 Dec 2005
Last Modified: 07 Jun 2014 07:23
Published Version: http://dx.doi.org/10.1109/TCSI.2003.813965
Status: Published
Refereed: Yes
Identification Number: 10.1109/TCSI.2003.813965
URI: http://eprints.whiterose.ac.uk/id/eprint/788

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