OSCILLATIONS DESCRIBED BY ANALOGUES OF VAN DER POL AND RAYLEIGH EQUATIONS
Journal: Bulletin of the National Technical University KhPI Series Mathematical modeling in engineering and technologies
Year: 2021

The paper deals with the modes of steady-state quasilinear self-oscillations described by the analogues of Van der Pol and Rayleigh differential equations. The differential formulation of the energy balance method is applied for studying the motion. The conditions for the equations to describe quasilinear self-oscillations with the amplitude independent of the initial conditions are derived in the form of inequalities. The formulae for computing this amplitude using the table of gamma functions