Homework 6
Due: Thursday 12 October
In this homework you will investigate another discrete time nonlinear dy-
namics – the Henon map. It is similar to the Sierpinski map as it involves
two dynamical variables xand y. The update equation is
xn+1 =yn+ 1 −ax2
n
yn+1 =bxn
For this homework we will take a= 1.4 and b= 0.3
1. Modify the Sierpinski code you worked with in lab 6 to implement the
Henon dynamics. Include your modified code in your writeup.
2. The Henon map for these parameter values exhibits chaos. Show that
the strange attractor has fractal characteristics (you may want to in-
clude snapshots of pieces of the attractor at different magnifications)
3. Calculate, using your code, the (box counting) fractal dimension of the
Henon map.
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