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I would look at the power supply coming in. Loose connection? Is there an in line fuse? If so could it be loose?
I would check the wire nuts, for loose a connection at the factory connector in the picture and at the fuse block. My diagram shows yellow going to ignition, orange wire and grey wire to battery.
I would have put that wire in one of the accessory spots.As for it still cutting out try tapping the stereo its self (loose connetion inside?), could the face plate be loose, what do the contacts for the face plate look like, could it be getting too much voltage at a higher rpm?
Thinking about it a little more that yellow wire could go to the dimmer for the stereo. Instead of hooking it up to the switch they could have wired it in there. Sent from my SM-G900R4 using Tapatalk
What make and model is that stereo? Sent from my SM-G900R4 using Tapatalk
Looking at the diagram for your stereo this where the connections should be.