structural:scholar_edition
Finite number of points

In a discrete-time system, an attractor can take the form of a finite number of points that are visited in sequence. Each of these points is called a periodic point. This is illustrated by the logistic map, which depending on its specific parameter value can have an attractor consisting of 1 point, 2 points, 2 points, 3 points, 3×2 points, 4 points, 5 points, or any given positive integer number of points.