iPod Nano 7th apple logo restarting

Hi Guys, I've already tried many things and read a lot of other threads, I hope you can help me.

I have an iPod nano 7th generation 16gb. The problem was that every time I selected any music to play, the iPod restarts automatically. So I put it on the recovery mode and did the factory reset, but now the problem is even worse. The iPod doesn't work unplugged, because it shows the apple logo for less then 1 second and starts to restart over and over again.

I don't think it's a battery problem because when its on recovery mode and unplugged works normally, without restarting suddenly.t!

Thanks a lot!

Gabriel.