publication . Book . 2009

Analysis of nonlinear oscillators in the frequency domain using volterra series Part II : identifying and modelling jump\ud Phenomenon

Li, L.M.; Billings, S.A.;
Open Access English
  • Published: 01 May 2009
  • Publisher: Automatic Control and Systems Engineering, University of Sheffield
  • Country: United Kingdom
In this the second part of the paper, a common and severe nonlinear phenomenon called jump, a behaviour associated with the Duffing oscillator and the multi-valued properties of the response solution, is investigated. The new frequency\ud domain criterion of establishing the upper limits of the nonlinear oscillators, developed in Part I of this paper, is applied to predict the onset point of the jump, and\ud the Volterra time and frequency domain analysis of this phenomenon are carried out based on graphical and numerical techniques.

Feigenbaum, M.J., 1980, "Universal behaviour in nonlinear systems", Los Alamos Science, Vol.1, pp.4-27, in "Universality in chaos", Ed. Predrag Cvitanovic, pp.49-84, 1989.

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