I have updated to some recent kernels in 3.11 and 3.12 versions and noticed that after a while BBB reboots. This happens most of the time within 11 - 20 hours. I have several BBB-boards and they act in a similar way. I first suspected my home-made 5 V powersupply based on LM 2596, but after having linux-am33x-legacy 3.8.13-13 running for extended period stable I tend to think that it is the kernel.
On serial console one sees only that the bootloader starts loading the kernel again. No error messages from the linux kernel before the bootloader takes over.
I am happy to switch some additional debugging on if needed and try to reproduce the problem.