White, a freshman starting in place of injured Chris Singleton, knocked down a 10-foot jumper with 31 seconds remaining that gave Florida State a 64-59 lead after Malcolm Grant's 3-point shot 25 seconds earlier moved the Hurricanes to within 62-59.
White hit 6 of 11 shots and grabbed seven rebounds while Dulkys connected of 4 of 8 attempts from 3-point range.
Grant led Miami with 19 points and 6-foot-10, 300-pound center Reggie Johnson added 17 points and 12 rebounds. Miami shot just 31.7 percent (20 of 63).
Miami (17-12, 5-9 Atlantic Coast Conference) fought back from a 22-point, first-half deficit.
Florida State (20-8, 10-4) won for the second time in three games since losing Singleton -- its scoring leader this season -- to a broken right foot two weeks ago. It marked Florida State's third straight season with at least 20 wins and 10 in ACC play.
Florida State led by double figures through much of the contest, including 61-50 with 4:06 left.
The Seminoles jumped to a 16-2 lead on their way to a 36-16 halftime cushion and a fifth straight victory over Miami. Dulkys and Michael Snaer each nailed a pair of 3-pointers that catapulted the Seminoles into the 14-point lead six minutes into the game.
Miami's 16 points at the break was the fewest Florida State has allowed in the first half this season.
Grant, Miami's top scorer this season, didn't get his first field goal until midway through the second half before heating up.
Florida State was as hot in the first half as Miami was cold, shooting 58.3 percent to the 'Canes frigid 17.2 percent. Miami made just 3 of its first 20 shots, falling behind by as many as 22 points in the opening half.
In its two losses to Florida State this season, Miami managed to shoot only 32.7 percent against the rangy Seminole defense. Florida State rallied from a 10-point deficit to win 55-53 at Miami last month in a cold-shooting contest when the Seminoles shot 32.1 percent and Miami 34 percent.
Florida State honored its 1972 team that was the NCAA runner-up to UCLA during a halftime ceremony.