Flicker free strobe with DSLR video?

[Billy Jayne]

Shooting on Cannon 7D, 24 fps, 50th shutter speed. The scene is the subject lit only by a pulsating strobe light. What is the easiest/ most affordable solution to sync the strobe with camera and avoid flicker, banding etc.? If possible, I'd like to have various speeds of the strobe for dramatic build.

 

Any recommendation on brand/type of strobe? Will be using house power. Shoot is in Los Angeles.

 

Thanks!