Document Type
Article
Rights
This item is available under a Creative Commons License for non-commercial use only
Disciplines
Applied mathematics, Electrical and electronic engineering
Abstract
Explicit expressions are presented that describe the input-output behaviour of a nonlinear system in both the frequency and the time domain. The expressions are based on a set of coefficients that do not depend on the input to the system and are universal for a given system. The anharmonic oscillator is chosen as an example and is discussed for different choices of its physical parameters. It is shown that the typical approach for the determination of the Volterra Series representation is not valid for the important case when the nonlinear system exhibits oscillatory behaviour and the input has a pole at the origin (in the frequency domain), e.g. the unit-step function. For this case, resonant effects arise and the analysis requires additional care.
Recommended Citation
M. Condon and R. Ivanov, An explicit mapping between the frequency domain and the time domain representations of nonlinear systems; International Journal of Non-Linear Mechanics 40, 2005, 1282-1292
Included in
Dynamic Systems Commons, Electrical and Electronics Commons, Mathematics Commons, Non-linear Dynamics Commons, Systems and Communications Commons
Publication Details
International Journal of Non-Linear Mechanics 40, 2005, 1282-1292