Daniel Ciampini completed the rout with a power-play goal at 5:19 of the third period.
Islanders left wing David Ullstrom left in the third period because of a lower body injury.
Sabres coach Ron Rolston disclosed after the game that Enroth was cramping the entire third period.
Henrique put the Devils up 2-1 with a short-handed goal 1:21 into the third period.
The Rangers started the third period with a two-goal lead and a two-man advantage.
The Hurricanes led for most of the third period after Tlusty's second goal came 49 seconds in.
Down 3-1, Quinnipiac (28-7-5) cut it to one on Peca's goal at 8:02 of the third period.
The Rangers had 10 shots in the first six minutes of the third period, but ran dry.
Bryzgalov was fantastic in the third period when the Flyers killed consecutive 5-on-3 and 5-on-4 power plays.
"Guys are really trying to stay focused on doing their job in the third period, " Brad Marchand said.
With a 3-0 lead heading into the third period, the Rangers had all but sealed New Jersey's fate.
The Islanders have led or been tied or ahead in the third period in 36 of 42 games.
Fayne tied it at 2 at 5:46 of the third period while the Devils were killing a penalty.
In the third period, Fleury angrily batted a puck out of the air during a stoppage in play.
The Islanders have been ahead or tied in the third period in 26 of 32 games this season.
Tuesday's loss was their first in regulation in which they led going into the third period since February 2010.
The Bruins then staged a three-goal comeback in the third period of the decisive game to get to overtime.
There's also the matter of his left shoulder that was hit by Daniel Paille's shot in the third period.
Still, the Penguins seemed to have things under control after Iginla tied the score 11:02 into the third period.
Nathan Horton cut the deficit to 4-2 at 9:18 of the third period.
Christian Ehrhoff scored 17 seconds into the third period after a faceoff to the left of the Flyers net.
New York has been either tied or ahead in the third period in 30 of 36 games this season.
The Capitals got a lift while killing off a delay-of-game penalty to John Carlson early in the third period.
Zubrus closed out the scoring in the third period on a power play.
When that opportunity arrived late in the third period Wednesday night, Ryan Getzlaf and Teemu Selanne absolutely nailed it.
New York had a couple of close calls in the third period, including a chance in front by Gaborik.
Until their explosive opening to third period, the Rangers were toothless going forward.
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Somehow they found the energy to keep the game close, and Tlusty once again worked his third period magic.
"We were awful in the third period ... trying to cheat and get back, " Lightning coach Guy Boucher said.
Clarkson had another scoring bid early in the third period when he fired the puck from the left circle.
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