Difference between revisions 111804641 and 111804646 on dewiki

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Parametric oscillator
A '''parametric oscillator''' is a simple [[harmonic oscillator]] whose parameters (its resonant frequency <math>\omega</math> and damping <math>\beta</math>) vary in time in a defined way

:<math>
\frac{d^{2}x}{dt^{2}} + \beta(t) \frac{dx}{dt} + \omega^{2}(t) x = 0
</math>

This equation is linear in <math>x(t)</math>.  By assumption, the parameters 
(contracted; show full)* [[Harmonic oscillator]]
* [[Optical parametric oscillator]]
* [[Optical parametric amplifier]]

[[Category:Oscillators]]
[[Category:Amplifiers]]
[[Category:Dynamical systems]]
[[Category:Ordinary differential equations]]