Confusing sub problem

[MrBade]

I have a Rockford Fosgate T500-1BD running two of the older versions of the 12" Alpine Type-R's. At high volumes at much longer than one whole regular duration song(I'd say 2:30-4:00) and rarely even before said time, the subs will cut out. The cd doesn't skip and the amp is not hot or in protection mode each and every time.

Both subs just...idk...become sensitive for a while and can't go past a certain level for a while. At first I thought since the amp shows literally no signs it's causing it, my next conclusion was loose connections between amp outs and sub ins. Fixed that. Helped kinda but hardly noticeably unless paying close attention. I'm starting to think theres a problem a person of my extremely limited expertise will ever find..........any ideas?

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