Sean Couturier is the Flyers' third-line center, but lately he has been playing like the team's best all-around skater. Couturier scored two goals and added two assists Wednesday night as the Flyers overcame a two-goal deficit and jolted the Detroit Red Wings, 6-3, at a place that is usually their house of horrors - the Joe Louis Arena. The Flyers scored the last five goals and are now 2-16-2 at The Joe since 1988. "It's good for our confidence, and that's why we won tonight - we're starting to believe in ourselves," Couturier said. Third-period goals by Claude Giroux (power play), Couturier, and Scott Hartnell (power play) wiped out a 3-2 Detroit lead. Couturier, who added an empty-netter, has four goals in his last four games. The Flyers, who had been 0-9 when trailing entering the third period this season, were 3 for 3 on the power play after going 0 for 9 in their previous three games. They got back to .500 and moved into a virtual tie for third place in the Metropolitan Division. Each member of the Flyers' third line - Couturier, Matt Read (three points), and Steve Downie - scored goals. The line has combined for 26 points in the last 10 games. Giroux tied it at 3-3 with a left-circle blast that went under the crossbar with 14:45 left in the third period. Wayne Simmonds screened goalie Jimmy Howard on the play. The Red Wings had five power plays in the second period, scoring on one of them and preventing the Flyers from building off a solid opening period. Read converted Couturier's behind-the-net pass to cut Detroit's lead to 3-2 with 3:22 left in the second period. Just 11 seconds later, Luke Schenn got a charging penalty for knocking Justin Abdelkader into the boards and sending him to the locker room for repairs before returning in the third period. The play may be reviewed by the NHL. Detroit had gotten goals from Johan Franzen and Tomas Tatar (five-on-three power play) to take a 3-1 lead earlier in the second period. Tatar scored two goals in a game for the first time in his career. Franzen scored on a tracer from the left circle after taking a nice feed from Stephen Weiss. Defenseman Braydon Coburn got caught up ice, and Franzen made the Flyers pay as he went in on a two-on-one. Earlier, Downie tied the score at 1-1 on his first goal, a power-play tally, since he was acquired from Colorado on October. "I just tried to put it on net and it found the back," Downie said. A couple of Flyers defensive breakdowns led to the game's first goal. Defenseman Andrej Meszaros lost a board battle with the Drew Miller, who found Tatar in front for his fourth. Tatar got inside position on Luke Schenn and Simmonds and lifted the puck past Steve Mason with 9:43 left in the first.