I ended the last turn for Team Sirius, and logged out. The game log on CivStats showed I finished the turn, but the status box at the top of the CivStats page did not register the turn ending. I logged in again a couple of hours later (when I noticed this) and saw I could end the turn again, so I did so. The game log shows I ended our turn twice.
It appeared to start the new turn OK, I just wanted to point out the glitch.