The harmonic model of a nonlinear resonance in discrete time

The nonlinearity of oscillatory system is a source of the higher harmonicas of the base frequency. Harmonicas distort a form of oscillations and complicate their dynamics. In work the new mathematical model of the classical nonlinear phenomenon - a nonlinear resonance is offered. The model describes a resonance in discrete time. Her feature consists in strict monochromatic of the compelled oscillations of the nonlinear oscillator. The method of equivalent (harmonious) linearization, popular in the applied theory of nonlinear oscillations, is the cornerstone of model. The property of monochromaticity of discrete oscillations is confirmed within the numerical experiment.