Amp.
That exact problem happened with my old cerwin VE-28S sub, i could have it plugged in anywhere, not connected to system, even on standby it would do it. had it fixed three times and the fourth time got a replacement, which did it 3 months later. it was an amp problem that plauged the model line. they ended up giving me my velodyne, so i ended alot better off. but yeah it sounds like an exact replica of the problems my old sub had.