Investigations of bifurcation memory effects in behaviour of nonlinear controlled systems

We consider nonlinear systems, whose number of possible stationary modes vary throughout the process of their controllable motion. The considered effects, instability stabilization in particular, may also reveal themselves in behaviour of nonlinear systems of other classes. Quite a similar result has been obtained for the basic model described by the Duffing equation with symmetrical driving force for the case when symmetrical oscillations (operating mode) are unstable.