I must admit I dont know alot about Mayas implementation of dynamics but if it is non-deterministic, it would have to have been developed this way because a computer program is inherently deterministic.
This means that Alias would have included some 'randomizer' to simulate chaotic behviour. It follows that, knowing Alias, they would allow you to toggle this 'randomizer' on and off.
That'll do donkey... that'll do...