Iteration Map

This java applet shows iterates of a map T:R² -- > R² near the origin. The equation is:
y_new = y_old + cx(x-1)
x_new = x_old + y_new
The default c = 1.5.

You click a point (x,y) with the mouse and it will continue to plot the new (x,y) that result from the map T (AKA the orbit of (x,y))until you choose another initial point.

Here is an example of what the iteration map looks like for c= 1.5 after many iterations at many initial points:
ORBIT MAP