Task 3: Solutions
Experimentally verify the following:
1) Two sequences with seeds only slightly apart diverge very rapidly (exponentially).
1) Two sequences with seeds only slightly apart diverge very rapidly (exponentially).
Jarrod Pickens used Mathematica to create the
following diagram showing the difference between the seeds
x1 = 0.4 and x¢1 = 0.4001, with a = 3.9.
A similar diagram, from the Kanamaru applet (captured by
Jarrod Pickens) is on the left.
2) Eachv>
2) Each population sequence wanders all over [0,1].
Bifurcation diagrams show this most clearly. 