What is linear harmonic oscillator ? And what is non-linear oscillator ?

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If a force exerted on any particle is directly proportional to displacement in time $t$, then oscillating particle is known as linear harmonic oscillator.

In real world, the force may contain small additional terms proportional to $x^{2}, x^{3}, \ldots$ etc. these then are called non-linear oscillators.

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  • [AIEEE 2012]