Chapter 6: Starting from Randomness

Section 7: The Notion of Attractors

[Attractors in] discrete systems

In traditional mathematics mechanical and other systems are assumed continuous, so that for example a pendulum may get exponentially close to the attractor state where it has stopped, but it will never strictly reach this attractor. In discrete systems like cellular automata, however, there is no problem in explicitly reaching at least simple attractors.

From Stephen Wolfram: A New Kind of Science [citation]