PMath 370    Chaos and Fractals
Maple Code

• Code for drawing a Newton Basin of attraction (I). This will take some neighbourhood around a root (or multiple roots) and solve the Newton Iterate backwards to see what points would map to this neighbourhood.
• Code for drawing a Newton Basin of attraction (II). This will solve Newton's method backwards, randomly picking points, in an attempt to find the repelling periodic points.
• Code for drawing animations of the Beta-fucntion, as beta ranges between 1 and 2
• Code for drawing Bifurcation diagram for mu between 0 and 4
• Code of the animation of the attractive fixed/periodic points of the Henon map, with b = 0.3 as a increases.
• Code of the Three-D Bifurcation Diagram of the attractive fixed/periodic points of the Henon map, with b = 0.3 as a increases.
• Plots the regions where the Julia set has an attractive Fixed point, and Periodic points of order 2, 3 and 4.
• Code for determining the Julia set by iterated square roots.
• Code for drawing IFS (1).
• Code for drawing IFS (2).
• Code for drawing IFS (3).
• Code for drawing IFS (4).
• Code for drawing IFS (5).
• Code for drawing the animations of the Infinite Binary Fractal Trees