Резонанс в осцилляторах с ограниченными нелинейностями.

Аннотация

The present paper discusses a method for nding selfconsistent external inuences on a nonlinear oscillator that lead to the
phenomenon of resonance as in the linear case. It is shown that for
bounded nonlinear systems it is possible to nd such a self-consistent
external force. To illustrate the search for self-consistent external inuences,
the simplest system with a nonlinear term represented by the saturation
function is chosen. The resonant solution stability with a small amplitude
deviation of the obtained self-consistent external force is investigated.