"I think we had a lot of energy, especially in the third period," Ducks coach Bruce Boudreau said. "They played [Friday] night and we played especially well [in the third]."
Detroit defeated Buffalo 3-0 Friday; the Ducks were scheduled to play Friday but their game against the Washington Capitals at Verizon Center was postponed because of a snowstorm on the East Coast.
Perry, Rakell and Pat Maroon, who had an assist, were the Ducks' most effective line.
"[Maroon's] a big body and he creates a lot of room," Perry said. "We cycled the puck and controlled it in their zone tonight and when you have somebody that can do that, it creates a lot of room for the two of us."
Darren Helm, Tomas Jurco and Danny DeKeyser scored for Detroit (24-16-8). Brendan Smith had two assists and Jimmy Howard made 31 saves.
"We weren't good enough. They were good, credit to them for sure," Red Wings coach Jeff Blashill said. "I thought they looked impressive. I didn't think we managed the puck well enough. So when you turn pucks over, you end up playing more in your end, you end up not being able to apply as much pressure as we want to apply. Overall, not good enough."
Detroit is 1-5-2 in its past eight games at Joe Louis Arena.
"This is our home. We're usually a lot better at home," Red Wings captain Henrik Zetterberg said. "We just need to go out and play the way we're supposed to play. I think as soon as we get away from that, the other team gets turnovers and then it's really hard to play."
Helm gave Detroit a 1-0 lead 1:10 into the game when he took Smith's pass off the boards for a breakaway. Helm made a move and slid a forehand shot past Gibson for his first goal in 19 games.
Kesler, who is from the Detroit suburb of Livonia, Mich., tied the game 1-1 at 7:26 when he took a pass from Silfverberg in the slot and beat Howard.
Perry gave Anaheim a 2-1 lead with 1:24 left in the first period. He capitalized on a 2-on-1 rush by taking a pass from Rakell in the slot and flipped a backhand shot past Howard.
Jurco tied the game 9:21 into the second period when he put a backhand shot under the crossbar to complete a 3-on-2 rush. It was Jurco's first goal in 18 games.
Gibson denied Red Wings defenseman Mike Green on a breakaway with five minutes left in the second period to keep the game tied 2-2.
"That was a big part of the game. If they go up 3-2 there …," Gibson said. "My job is to keep us in the game and every save I can steal, I will. I was fortunate enough to make the save and everything worked out our way."
Detroit forward Dylan Larkin hit the goal post eight minutes into the second period.
Perry's second goal of the game gave the Ducks a 3-2 lead 2:28 into the third period when he swept a forehand shot past Howard.
"[Rakell] made a great pass to me and I was just trying to find the puck and make a move," Perry said.
Kesler's second goal of the game, 6:42 into the third period, made it 4-2. He scored on a wrist shot from right circle after carrying the puck from the neutral zone. It was Kesler's 10th goal of the season.
DeKeyser scored with Howard pulled for the extra attacker with 1:16 left on a slap shot from the point. It was his fifth goal.
Left wing Ryan Garbutt made his debut with Anaheim after being acquired from the Chicago Blackhawks on Thursday for Jiri Sekac.
