Classical mechanics of many particles defined on canonically deformed   nonrelativistic space-time
  We provide the classical mechanics of many particles moving in canonically twist-deformed space-time. In particular, we consider two examples of such noncommutative systems - the set of N particles moving in gravitational field as well as the system of N interacting harmonic oscillators. 
Marcin Daszkiewicz, Cezary J. Walczyk
hep-th