Tent Map

The Tent Map is one of the simplest nonlinear functions. It consists of two linear functions:

T(x) = s*x	for x <= 1/2
T(x) = s*(1-x)	for x >= 1/2

For small x, the Tent Map represents growth; for larger x decline, perhaps an effect of competition for limited resources.

Note the maximum value occurs at x = 1/2, and that maximum value is s/2. We shall see the graph should stay inside the unit square. Consequently, we restrict the number s to the range 0 <= s <= 2.