Some Problems on Nonlinear Oscillations

Abstract

This paper presents our research on the interaction between nonlinear oscillations, Van-der-Pol’s systems subjected to complicated excitations and quasilinear oscillations in systems with large static deflections [1–4]. It is well known that there is always an interaction of some kind between nonlinear oscillations, namely, between the forced, parametric and self-excited oscillators. Each of these oscillators demonstrates definite sustained oscillations, comprising one or a combination of several modes. The principal questions to be answered are: What will happen if these oscillators are coupled in some manner ? Does a resultant nonlinear oscillation exist and is it stable? The stationary oscillations and their stability have been paid special attention.