- Two videos have been uploaded to the class web site.
General requirements for matlab projects are online.
- I have provided an example
of matlab m-file, graphical output, and
sample writeup (Word and PDF format)
- I have added a small maple program to illustrate finding
the bifurcation points (period doubling) of the logistic map.
It can be found
here. The bifurcation points occur when the roots of f^n(x,c)=x
transition from n real and n imaginary to 2n real. This occurs when a
square root vanishes, and hence a certain derivative becomes singular.
- A simple bifurcation plotting m-file can be found bifurcate_plot.m and the resulting output of the
command "bifucate_plot(3.5,3.57,100)" is seen below (Note: the
logistic function f(x,c)=cx(1-x) is hardwired in).
You can get much nicer plots using the axis(..) option and
'MarkerSize',2 ... in the plot arguments - as shown below