Yikes! Your problem sounds pretty wierd
I have seen electrical systems condensate when first switched on (relays & electronics getting warm on very cold days can cause condensation on the electronics) this can cause a lot of weird things to happen until it dries out (warms up)
Also on very cold days the battery can supply low voltage to the computor.
This is also known to cause weird things to happen around the vehicle!
Good luck,
Andy