Differentiate between Independent and
Coupled Oscillations.
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Explanation:
Consider the case that you have two oscillators (harmonic or otherwise). It is the case that either
The oscillators are independent, i.e., non-interacting
The oscillators are coupled, i.e., interacting
If (1), the differential equations for the system are just two single oscillator equations, e.g., the acceleration of one mass does not depend on the position of the other mass.
If (2), the differential equations are 'mixed', e.g., the acceleration of either mass depends on the difference in the position of the masses.
The term harmonic oscillator is opposed to anharmonic oscillator.
The natural (unforced) oscillation of a harmonic oscillator is a sinusoid, i.e., has a single frequency.
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