Dynamics of the linear oscillator with impacts

A dynamical behaviour of the linear oscillator with one degree of freedom is presented. During a motion excited by an external harmonic force the oscillator impacts on the basement. A physical and mathematical model of the system, as well as bifurcation diagrams showing an effect of the excitation frequency on the character of the system motion have been discussed. Results of the analysis of an influence of the viscous damping coefficient on regularity of the oscillator motion have also been presented. The investigations have been conducted by means of numerical simulations.