A330-200 RR experiencing flight control shimmy under autopilot control

So, I’m not entirely sure the proper/best way to explain this, but I’m currently flighting the A330-200RR from KJFK-KSEA and I noticed that during the climb, the autopilot started to experience a vertical shimmy in the aircraft attitude that quickly dissipates once autopilot is disengaged. The shimmy has even continued through TOC into cruise.

Has anyone else experienced this? I’m not sure if this is an actual bug or not, so I figured I would start in the User Support Hub and go from there.

I also took a few recordings that I will post for this once they finish processing.

Here’s the three recordings

Recording 1: https://www.youtube-nocookie.com/embed/3vudGHM4nFU

Recording 2: https://www.youtube-nocookie.com/embed/rtCgTTkecgs

Recording 3: https://www.youtube-nocookie.com/embed/fDhBWpC4Owo