The Response Spectrum Map, Volterra Series Representations and the Duffing Equation.
Billings, S.A. and Boaghe, O.M.
(1999)
The Response Spectrum Map, Volterra Series Representations and the Duffing Equation.
Research Report.
ACSE Research Report 754
.
Department of Automatic Control and Systems Engineering
Abstract
The validity of Volterra series representations is assessed in the time and frequency domain for the particular example of the Duffing oscillator. The theoretical results derived in the literature associated with the existence of the Volterra series are reviewed and tested for the Duffing equation. Response Spectrum Maps are introduced for the first time as frequency domain equivalent to the Bifurcation Diagram, and these are used to qualitatively analyse and detect various dynamical states exhibited by the Duffing oscillator.
Metadata
Item Type:
Monograph
Authors/Creators:
Billings, S.A.
Boaghe, O.M.
Copyright, Publisher and Additional Information:
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