# Harmonic and Non-harmonic Oscillation

Harmonic oscillation is the repetitive movement of an object or system about a fixed point or equilibrium position in response to a restoring force. It is a type of periodic motion that can be modeled mathematically as a sinusoidal function. Examples of harmonic oscillation include a pendulum swinging back and forth, a mass on a spring bouncing up and down, and the oscillation of an electric circuit.

Harmonic oscillation is that oscillation which can be expressed in terms of single harmonic function (*i.e*. sine or cosine function). *Example* :

Non-harmonic oscillation refers to any type of oscillation that does not follow a simple harmonic motion (SHM) pattern. In SHM, the restoring force is proportional to the displacement from the equilibrium position, and the motion is sinusoidal. In contrast, non-harmonic oscillations can have more complex patterns of motion and may be caused by forces that are not proportional to the displacement. Examples of non-harmonic oscillations include chaotic systems, damped oscillations, and forced oscillations.

Non-harmonic oscillation is that oscillation which can not be expressed in terms of single harmonic function. It is a combination of two or more

than two harmonic oscillations. *Example* :