Abstract
This paper aims to determine a system of linear oscillators for which the spectrum of its stationary response is close to the spectrum of a given non-linear oscillator. A set of linear oscillators is obtained by performing the spectral factorization followed by a first ARMA identification. The non-linear oscillator is then approximated by an appropriate linear combination of these oscillators. Examples of some non-linear oscillators are approximated by using the proposed procedure. The results obtained are in good similarity with data obtained by Monte-Carlo simulations.
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