Phoenix jumped back into the playoff picture, which currently finds six teams -- the Coyotes and Red Wings among them -- separated by three points in the battle for the final two post-season spots in the Western Conference.
Valtteri Filppula scored on the power play for Detroit 1:56 into the contest, but the Coyotes took charge in the second period and then held off a late threat.
Stone tied it with a slap shot with 1:47 having elapsed in the second period, Chris Conner gave Phoenix the lead 7 minutes later and Shane Doan added his 12th of the season with 3:59 to go in the stanza.
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