Generalized quasi-harmonic method for analyzing phase-locked systems

The quasi-harmonic linearization method is generalized to the case where the anticipated solution to the nonlinear differential equation of a phase-locked system involves an arbitrary number of harmonics. Governing relationships, which make it possible to find l -multiple φ cycles and investigate their stability, have been derived for the system of an arbitrary order. The examples illustrating the analysis of the third-order system are presented.