Obviously resonance, such a simple physics principle, amazing
how it it can evade those physicist.
The construction of the swing, which is similar to the model of
pendulum, is such the the natural frequency of oscillation is
similar to the periodic driving force, wind.
T = 2pi sqrt(length of swing/gravitational acceleration)
As a result, resonance is exhibited when the wind is at the right
condition. From the video, you can hear the wind clearly. Also,
videos have shown all 3 slide capable of this "haunted"
phenomenon.
Nothing to see here, move along..