The possibility of identifying the type of self-oscillations of nonlinear systems by the Prony method of spectral analysis Is analyzed. Numerical solutions of a difference equation which is a discrete analog of the ordinary differential equationswith multiple bifurcations of the stationary points and periodic solutions terminating in the onset of a chaotic self-oscillatory solution, are used. A spectral analysis of these numerical solutions indicates that the discrete spectra of subharmonicscharacteristic of various presently known types of self-oscillations can be reliably identified by the Prony method.
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