• 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