Abstract
The analysis of undamped oscillations with a discrete number of possible stable amplitudes excitation mechanism as a result of an external periodic force influence, nonlinear in the motion coordinate of the exciting (linear/non-linear) vibra-tion-oscillatory system is given.
 Characteristic phenomenon regularities are studied on two general models basis: a) the pendulum is under the external periodic force inhomogeneous in the coordinate influence; b) oscillator under the incident wave influence. It is shown that the phe-nomenon’s mechanism is related to phase capture and adaptive phase adjustment, which provides the necessary energy contribution to the vibrational process in this vibrating system.
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