Stoner, who hadn't scored in his first 54 games, put a slap shot from the left point between the legs of Dallas' Jhonas Enroth. The goal was unassisted.
The game was tied at 1 before Stoner's goal at 4:19 of the third. Ryan Getzlaf increased the lead to 3-1 on a breakaway at 14:09.
Corey Perry and Ryan Getzlaf each had a goal and an assist for Anaheim. The Pacific Division leaders are 5-1 in their last six games.
John Gibson made 39 saves for the Ducks, while Enroth finished with 19.
Patrick Eaves scored on the power play for Dallas, which is on a six-game winless streak (0-4-2).
Dallas Stars get: Mattias Backman, Mattas Janmark and a 2015 second-round pick
The Red Wings are averaging 2.9 goals per game, which is No. 7 in the NHL. But they’re a little reliant on a power play that is No. 1 in the league, and that’s a hard way to win in the playoffs where power plays can dry up quickly. At even strength, the Red Wings average just 2.07 goals per 60 minutes, a total that is No. 23 in the league.
Cole will help.
The Stars got center Mattias Janmark, defenseman Mattias Backman and a second-round pick this year for Cole and a conditional third-round pick.
Cole, 36, had 18 goals and 17 assists in 57 games for the Stars this season. He has 262 goals and 264 assists in 881 games with Carolina, Edmonton, Montreal and Dallas.
"This might be one of the best years he's had," Stars general manager Jim Nill said.
In 2011-12, Cole had 35 goals and 26 assists for Montreal.
"I was warming up for the game here, got pulled away and found out that a deal had been reached," Cole told Canadian sports network TSN. "I found a little after that I was going to be headed to Detroit. It should be a great experience with a great team that is in the playoffs."
Janmark and Backman, both 22, have not played in the NHL.
Detroit drafted Backman in the fifth round in 2011 and Janmark in the third round in 2013. They have played mostly in their native Sweden and logged some time with the AHL's Grand Rapids Griffins.
Nill was Detroit's assistant general manager when the Red Wings picked Backman 146th overall but was with the Stars when Janmark was drafted.
"I've seen Backman ever since we drafted him," Nill said. "He's very close to being an NHL-ready defenseman. Janmark plays the game the right way both ways. We look forward to getting him over here and seeing where his development's at."
This season, Janmark has 13 goals and 23 assists in 53 games for Frolunda in the Swedish Hockey League. Backman had four assists in 18 games at Grand Rapids, and has four goals and 12 assists in 23 games for Linkopings.
CALGARY, Alberta -- The Calgary Flames have claimed defenseman David Schlemko off waivers from the Dallas Stars and placed captain Mark Giordano on the injured list with an undisclosed upper-body injury.
Giordano, a front-runner for the Norris Trophy as the NHL's top defenseman, was listed as out indefinitely several days ago.
Schlemko, a left-handed shooter, has nine goals and 41 assists in 212 career games with the Stars and Arizona Coyotes. He has a goal and three assists in 25 games this season.
Nate Guenin had a career-high three points with a goal and two assists for the Avalanche. They rallied from deficits of 3-1 and 4-3 in the third period.
Cody Eakin had two goals and an assist, but the Stars lost their fifth straight game (0-3-2) They also were 0-3-2 against Colorado this season.
Jhonas Enroth stopped 21 shots for Dallas. He got the start after giving up six third-period goals in the Stars' 6-2 loss to Minnesota last Sunday.
When the Edmonton Oilers hired Dallas Eakins in June 2013 to kick-start their youth movement, he was seen as the archetype for the new breed of NHL coach. Eakins, 46, was a former NHL player, a successful American Hockey League head coach and well-versed in the world of advanced stats.
In fact, Eakins considers himself an analytics proponent. Last summer, Eakins championed the hiring of prominent analytics blogger and vocal Oilers critic Tyler Dellow for a role in hockey operations. With Dellow's input, Eakins tweaked the way the Oilers played in order to improve their Corsi, an advanced stat that measures possession. Edmonton saw a significant improvement in Corsi percentage under Eakins from last season to this season.
The wins column was another story. After the Oilers lost 15 of 16 games, Eakins was fired in December, just 18 months after he was hired. In one of his first interviews since leaving Edmonton, Eakins spoke with ESPN The Magazine's Craig Custance about the challenge of selling analytics in a sport that remains resistant to change.
Custance: What's the hardest part about selling analytics in hockey?
The Wild are an NHL-best 11-1-1 since the All-Star break, outscoring the opposition 40-18 during that stretch to get into playoff position for the first time since Nov. 24.
Making his 17th straight start since being acquired from Arizona in mid-January, Devan Dubnyk finished with 18 saves to improve to 13-2-1 with Minnesota.
Jason Spezza scored twice for Dallas, which is 0-2-1 in its last three.
DALLAS -- Niklas Kronwall scored 36 seconds into overtime and the Detroit Red Wings defeated the Dallas Stars 7-6 on Saturday night after overcoming a pair of two-goal deficits in a wild third period.
But then Jakub Kindl had two goals 45 seconds apart in the third to tie it 4-all in his return to the Red Wings.
Dallas goalie Kari Lehtonen had 29 saves but allowed a season-high seven goals.
Antti Niemi made 37 saves for the Sharks, who had lost two straight. The victory vaulted them into a tie for seventh place in the Western Conference with Calgary, tied for third in the Pacific Division.
The Stars had won four of their previous five games. They fell six points behind Calgary and San Jose in the race for the final wild-card berth.