Recognition of higher harmonics in the method of quasiharmonic linearization

The method of quasiharmonic linearization which recognizes higher harmonics is extended in assumed solution to the nonlinear differential equation which describes a phase automatic system (PAS). A set of stationary equations is obtained which characterize asynchronous PAS modes (rotational motions). Stability of the assumed polyharmonic solution is checked. For illustration, computation of dynamic responses is given for a second order nonlinear system where existence of one, two, and three harmonics in the assumed solution is recognized.