Oscillation is going back and forth repeatedly between two positions or states. An oscillation can be a periodic motion that repeats itself in a regular cycle, such as a sine wave, the side-to-side swing of a pendulum, or the up-and-down motion of a spring with a weight. An oscillating movement is around an equilibrium point or mean value.
Oscillatory motion can be termed as the repeated motion in which an object repeats the same movement over and over. In the absence of friction, the oscillatory motion would continue forever; but in the real world, the system eventually settles into equilibrium. Oscillatory motion can be found throughout the physical world in different cases from the uranium nucleus oscillation before it fissions to the carbon dioxide molecules oscillating in the universe, absorbing and contributing to global warming. Building and bridges undergoes oscillatory motion, sometimes with disastrous results. Even stars oscillates. Waves- from sound to ocean waves to seismic waves in the solid earth- ultimately involve oscillatory motion.