Asymptotic analysis of strongly nonlinear oscillators
In the paper the asymptotic method is applied for the analysis of a strongly nonlinear autonomous oscillator characterised by the differential equation \(\ddot u+g(u)=\epsilon f(u,\dot u)\) with a small parameter \(\epsilon >0\). The equations for the amplitude and phase factor are obtained and the amplitude and stability of the corresponding limit cycles are determined.
strongly nonlinear autonomous oscillator
scientific article; zbMATH DE number 3937602