It´s a pity that the animation is flickering like that at the end, because I found it quite entertaining (Always great to see something move right?) As per the *MB file, it taxed my computer (only...

Whoa, now that´s freaky ... might as well consider sending the *MB file to one of those maya´s gurus around here, because I´m clueless already.

<-- puzzled ... :(

Now this is a tricky one. Hmm, You could also try exporting the geometry and animation curves, and redo the lighting setup. Might as well start fresh.

The power shortage thing was intended as a...

Ok, I see.

And what is the behaviour of the frames? Do they flicker? Did you by any chance keyframe those lights? (with Auto Key on) Check for that also.

Might be power shortage also on that...

By the way, as a good rule of thumb, If you´re going to render large animations, try doing it by layers and then compositing. That way you´ll avoid yourself situations like this one.

And as an...

Why don´t you try running a Render Diagnostics (Render Menu)? Might point out some clues.

Another thing is Maya uses a default auto-exposure feature that has to be turned off, It causes light,...