DocumentCode :
1234731
Title :
Subharmonic oscillation modeling and MISO Volterra series
Author :
Boaghe, Otilia M. ; Billings, Stephen A.
Author_Institution :
Dept. of Autom. Control & Syst. Eng., Univ. of Sheffield, UK
Volume :
50
Issue :
7
fYear :
2003
fDate :
7/1/2003 12:00:00 AM
Firstpage :
877
Lastpage :
884
Abstract :
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.
Keywords :
Volterra series; bifurcation; chaos; circuit oscillations; frequency response; harmonic generation; modelling; nonlinear network analysis; nonlinear systems; oscillations; MISO Volterra series; bifurcation; chaos; generalized frequency-response functions; local MISO Volterra models; multiple input single output Volterra models; nonlinear oscillations; subharmonic generation; subharmonic oscillation modeling; Bifurcation; Chaos; Control systems; Frequency domain analysis; Helium; Linear systems; Mechanical systems; Nonlinear systems; Steady-state; Systems engineering and theory;
fLanguage :
English
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Publisher :
ieee
ISSN :
1057-7122
Type :
jour
DOI :
10.1109/TCSI.2003.813965
Filename :
1211087
Link To Document :
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