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Mathematica - Showing iterations graphically

  1. Jan 20, 2012 #1
    I'm trying to do this:

    Suppose I have some iterative function $x_{n+1}=\sin(x_n)$. I want to demonstrate an iteration on a plot by graphing $y=\sin(x)$ and $y=x$, then drawing lines from the graph of x to the graph of sin x, like in this page:

    http://demonstrations.wolfram.com/IteratingLinearFunctions/

    I would try to google or check the documentation to do this, but I have no idea on what keywords to use, nor do I have any clue on where to begin.

    Thanks!

    [I also don't know how to get LaTeX to work in this forum. Sorry!]
     
  2. jcsd
  3. Jan 20, 2012 #2
    y = NestList[Sin, 1, 6]; x = Range[7]; points = Transpose[{x, y}]; ListPlot[points]

    might get you started.

    From that you need to use the contents of points to generate the horizontal and vertical line segments shown in that demonstration. This
    http://reference.wolfram.com/mathematica/ref/Line.html
    will give you an idea what result you need to generate from your points.
     
    Last edited: Jan 21, 2012
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