"There's a reason why they're where they're at in the standings," Little said. "They don't give you much, and they make you pay when you make a mistake."
Little opened the scoring on the game's first power play, beating Andersen with a glove-side snap shot that went off the post and in at 11:28 of the first. It was Little's team-leading 12th goal.
The Jets' power play continued its recent hot streak after an ice-cold start to the season. After going 0 for 25 over a seven-game stretch, Winnipeg is on a 10-for-33 run with the extra attacker.
Anaheim responded with three in the second.
"To come in and play like we did, I'm really proud of the guys tonight," Ducks coach Bruce Boudreau said. "Good depth, good resiliency, want to win. All of those things. They think when they go out there every night they should win, and when they play hard enough they usually do."
Silfverberg beat Hutchinson high to the stick side right before a penalty to Winnipeg's Anthony Peluso expired at 6:15. Getzlaf's go-ahead goal came two minutes later, and Thompson made it a three-goal period for Anaheim at 17:53.
Hutchinson stopped 27 shots, but he also had a puck-handling gaffe that led to the Ducks' third goal. With the Jets on the power play, Hutchinson nearly steered the puck into his own net before giving it away to Getzlaf, who quickly fed Thompson for an easy one-timer.
"Everything that could go wrong did go wrong on that one," Hutchinson said.
The Ducks (21-6-5) continue to roll through the Western Conference, upping their league-leading point total to 47. Anaheim improved to 14-4-4 against Western opponents, and 11-3-2 on the road.
Cogliano's empty-netter iced the game with 1:15 remaining.
Winnipeg continues its four-game homestand on Tuesday night against Buffalo, while the Ducks continue their five-game Canadian road trip in Toronto on Tuesday.
NOTES: Andersen started his 18th consecutive game in net. ... It was the ninth straight game in which the Jets alternated between Hutchinson and Ondrej Pavelec as their starter. ... Jets forward Evander Kane returned from a two-game suspension for a hit from behind on Ducks defenseman Clayton Stoner in the clubs' previous meeting. Kane recorded seven hits and no shots, and was minus-2.