The above video is from the Regis and Kelly show and the trainer is giving some descriptions and coaching.
The founder of Gyrokinesis/Gyrotonic, Juliu Horvath, discusses his philosophy and shows demo's.
What is Gyrotonic and what it can do for you in workouts
...allow the body to move with no end point, ...Nothing's forced. It's like you're swimming"
Local Resources for Gyrokinesis/Gyrotonic