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What is linear harmonic oscillator ? And...

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 to 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),"….."` etc. these then are called non-linear oscillators.
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