NEWS

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• 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

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