This work contains 32 selected papers by experts covering research in this field of mechanics. The material has been grouped into six sections entitled: Non-linear oscillations of beams, plates, vehicles, and other dynamic systems; Analysis and control of non-linear systems; Non-linear waves; Dynamics of offshore structures; System identification; and Mathematical and numerical methods for investigating non-linear systems. Individual papers reflect the newest achievements and results in non-linear oscillations and cover analytical methods, experimental and numerical techniques which may be applied to dynamic problems. This volume should be of interest to scientists and graduate students in theoretical and applied mechanics and mathematics.