Chapter 11, Exploration 60

The Hénon map is given by \[\begin{array}{lcl} x_{n+1} &=& 1+y - ax^2\\ y_{n+1} &=& bx. \end{array} \]We will take \(a=1.4\) and \(b = 0.3\). The tool here allows you to iterate the Hénon map. Describe in your own words what orbits are converging to. This object is known as the Hénon attractor.