Holy ****!!! I think I may have found the fix! I have had the same exact problem as everyone in here. It seems to happen once I root. My Rezound would die completely, then after plugging it in, the light would come on for 5 seconds or less then shut off. I plugged it into my computer and Windows makes the USB Connected sound, so I figured something is happening.
I went into my command prompt and *adb devices*. It showed my device, but says in recovery mode. I then *adb reboot bootloader* and the bastard rebooted into bootloader! From there, I chose "REBOOT" and it fired right back up! Anyone who is having this problem, please try this and let me know if it works for you!
***UPDATE***
It appears when the battery dies all the way and then doesn't charge, the phone is automatically going into recovery mode even though nothing shows on the screen. I had my SIM card out when I tried this the first time, then when putting my SIM back in, it started doing the same thing. But again, it was going directly into recovery mode. This time, I tried a simple *adb reboot* and BAM! I'm back up and running! Again, let me know if this works for you, or if you need help doing this, let me know.
Nice call. I've had problems with Amon Ra and use CWMTouch. adb reboot powered it up and it's charging now.
Thanks!