WATCH: [Full Stars vs. Blackhawks highlights]
"It's a long season. Sometimes there's ups and sometimes there's downs. Right now, we've got four in a row," said Radulov. "We've just got to stick with it, and work hard and work as a team and five guys on the ice and give everything you've got. Play smart, play playoff hockey and we're going to be in good shape."
Radek Faksa also scored in regulation for the Stars and Tyler Seguin tallied in the shootout as Dallas (15-10-1) ran its home winning streak to five games. The Stars improved to 6-1-0 in their last seven games overall.
"We're doing what you want a team to do, and that is battle for each other," said Stars coach Ken Hitchcock. "We're making each other accountable on a high level and helping each other on the bench. I think we're going to have to play a lot better than we're playing right now to get a playoff spot, but I like that fact that we're really trying to help each other."
Anton Forsberg, who has taken over for Chicago's injured No. 1 goalie Corey Crawford, stopped 33 shots for the Blackhawks who lost their third straight game (0-1-2) and fell to 12-9-5 on the season. Despite being swept in the home-and-home series by Dallas, the Blackhawks did pick up a point in both games.