I have a bit similar problem.
When starting with hot motor or when the car has heaten up by sun, the audio goes to on-off cycle. Music plays for 4 secons, then its silence for 12 seconds and the loop starts again. The strange bit is that sometimes the audio stays on when I start the engine about 3-4 times again. Sometimes even that woun't help.
By now I have suspected that a capacitor in the amplifier is the reason. As it drains out, the audio mutes (11 sec) and when it is charged up again the audio plays (4 sec) ant then looping. But I can't explain why it sometimes stays on when I crank the engine few times.
By reading this topic, I found another possible reason for my problem. But before I start to rip my car up I would appreciate if you could point me what and how to check.
Will I open all mu speakers up and check for loose connection? How can I get to an amplifier as it sits so hidden away at rear? What and Can I measure some components, earth, etc with multimeter?
I own a Opel Omega B Caravan 2001 2,5TD 96kw, NCDC2015 with Bose stereo