TO THE ANALYSIS OF AUTOPARAMETRIC SYSTEMS

Autoparametric systems represent a special class of nonlinear systems. Such a system has at least two parts, i.e. two degrees of freedom at least. The first part - the oscillator - vibrates due to external or p arametric excitations or due to self-excitation. A typical feature is represented by the existence of the semi-trivial solution, which means that only the oscillator vibrates. Under certain conditions the semi- trivial solution is unstable, and autoparametric resonance is induced. Several examples of these systems together with a survey of the inves tigation results are presented. Typical properties like saturation eff ect and the occurrence of non-periodic vibration are illustrated on ex amples.