During the winning streak, Pavelec has stopped 230 of 238 shots.
With the Avalanche trailing 1-0, Duchene got the equalizer at 1:43 of the third period on a wrist shot that got under Pavelec's stick. Duchene had stolen the puck in the neutral zone.
Jones put the Avalanche ahead 2-1 with a power-play goal at 10:10, deflecting a slap shot by Kevin Shattenkirk.
The lead was short-lived. Byfuglien had a shot blocked by Jones, regained the puck and sent a low drive past Budaj at 13:48.
Colorado's Ryan O'Byrne hit the right post with 2:04 left in regulation. In overtime, Stewart circled the net and sent a shot past Budaj.
Peverley opened the scoring with his sixth goal of the season, a wrist shot from the lower left circle. The shot made it just inside the left post at 10:41 of the first period.
The Thrashers had other chances earlier, drawing back-to-back power plays midway through the period. Budaj turned aside five quality chances, the best save coming on Bryan Little's wrister from the right circle.
Pavelec made a diving save of a short-handed shot by Greg Mauldin on one of the power plays. The goalie caught a break in the final minute of the period when he deflected Paul Stastny's shot off the crossbar.
The Thrashers failed to convert on two power plays in the second period. Colorado was equally ineffective with its two power plays.
Pavelec got help from Peverley, who denied a goal by taking the puck off Kevin Porter's stick just in front of the crease at 15:56 of the second period.
Atlanta LW Ben Eager leveled Avalanche RW Brandon Yip with an aggressive check behind the Colorado goal. ... The Avalanche had their first winning November (7-5-1) since going 8-5-2 in 2005. ... Colorado F Tomas Fleischmann was a healthy scratch after being acquired earlier in the day from Washington for defenseman Scott Hannan.