DALLAS (AP) Alexander Radulov started a rally and John Klingberg finished it as Dallas kept firing shots in its busiest period in team history.
Connor Carrick and Jamie Benn also scored for Dallas in the second. Tyler Seguin assisted on the goals by Radulov and Benn.
The barrage wiped out a 3-0 Anaheim lead and came against Ducks goalie John Gibson, who entered the game 3-0-1 with a 1.44 goals against average.
Radulov became the first Dallas player to score a goal in each of the first four games.
''It's always hard to come back from 3-0 down,'' Radulov said. ''Today the hockey god was on our side.''
Klingberg's goal from the right point to the upper left corner of the net came at 17:46, 2 seconds before a roughing penalty against Gibson expired.
''(The power play) was a huge key tonight, especially on that one when the game-winner was scored,'' Radulov said. ''We were winning all those neutral pucks.''
Radek Faksa added a length-of-the-ice, empty-net goal with 1:28 to play.
Anton Khudobin, making his Dallas debut in goal, had a good view of the action at the other end of the ice.
''It was amazing to see that comeback,'' Khudobin said. ''If I could have a pillow, I would probably fall asleep.''
The NHL record for shots on goal in a period is 33, by the Bruins in the second period of a 3-2 home win over Chicago on March 4, 1941. The franchise record is 32 by the Minnesota North Stars on Dec. 13, 1972, against Philadelphia.
The loss was Anaheim's first. Dallas is 3-1.
Anaheim's Jacob Silfverberg and Kiefer Sherwood had first-period goals, and Adam Henrique added a power-play goal at 8:09 of the second, when the Ducks had only four shots on goal.
At the first intermission, Stars coach Jim Montgomery made changes.
''I think it put a little desperation in us,'' Montgomery said. ''We changed all four lines. I wanted Radulov to get (Valeri) Nichushkin going. I thought (Jason) Spezza would be a good center with that group.''
Nichushkin and Spezza assisted on Carrick's goal.
''Those lines all generated chances,'' Montgomery said.
Gibson made 40 saves while playing the first two periods. Ryan Miller had six in the third.
''We hung our goaltender out to dry,'' Ducks coach Randy Carlyle said. ''That's inexcusable for a hockey club to put a guy in that type of situation, under siege for 20 minutes. They turned their game up.''
Khubodin stopped 22 shots.
Anaheim's first-period goals resulted from long-range shots.
Silfverberg took the puck in the right corner, skated around to the left point and sent a wrist shot past a screen by Max Comtois for the first goal at 9:01.
At 13:28, Sherwood scored his first NHL goal when he tipped Josh Manson's shot from the right point up and past Khubodin.
Dallas finally took advantage of the huge advantage in shots on goal at 11:14 of the second, when Radulov scored from the left faceoff circle on the Stars' first power play. At that point, they had outshot Anaheim 28-13.
That goal seemed to energize Dallas. On the Stars' next four shots, they scored twice 9 seconds apart to tie the game at 3.
NOTES: Dallas twice has had 25 shots in a period, most recently in the second period against Pittsburgh on March 16, 1997. ... Anaheim's captain, C Ryan Getzlaf, (pulled groin muscle) missed his third game. RW Carter Rowney left the game with an upper-body injury. ... Seguin leads the Stars with 10 points (3 goals, 7 assists). Silfverberg has six points (two goals, four assists) to lead the Ducks.
Ducks: Complete a quick two-game trip at St. Louis on Sunday.
Stars: Play the first of two games in two nights on Monday at Ottawa.
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