This Demonstration implements a model of excitable media. Space is represented as a grid of cells. Each cell can be in any of three states: (1) quiescent, (2) excited, or (3) refractory. A quiescent cell (white) becomes excited (green) if at least two of its neighbors are excited, then becomes refractory (yellow) at the next iteration. A refractory cell has a chance to become quiescent again with a fixed probability at every iteration.

Snapshot 1: the initial state of the model, which is mostly quiescent with randomly scattered excited cells

Snapshot 2: traveling waves emerging from disorder

Snapshot 3: a very long, steplike, moving structure

The "reset" button at the top right returns the model to its initial state. When the "run" checkbox is checked, the model runs continuously. When it is unchecked, the model does not run. Boundary conditions are periodic.

Based on a model discussed in [1].

Reference

[1] J. L. Schiff, Cellular Automata: A Discrete View of the World, New York: Wiley, 2008.