Discrete Dynamical Systems
Given a function f, define fn to be the composition of f with itself n times: f°f°f°...°f.
The orbit of a point x0 is the sequence x0, x1=f(x0), x2=f(f(x0)),...,xn=fn(x0),...
The preset function in the applet is f(x)=4x(1-x). You may want to try other functions such as:
Enter a new function in the input box by typing, for instance, f(x)=2*x^2-2.
Note: you can double-click on the applet to open it in a new window.