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MathGroup Archive 2001

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Re: Cobweb Plot

  • To: mathgroup at
  • Subject: [mg27513] Re: Cobweb Plot
  • From: Jens-Peer Kuska <kuska at>
  • Date: Sat, 3 Mar 2001 03:39:56 -0500 (EST)
  • Organization: Universitaet Leipzig
  • References: <97l3cs$>
  • Sender: owner-wri-mathgroup at


something like this ?

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Jon Joseph wrote:
> I have been experimenting with chaotic systems and have been trying to
> produce a "Cobweb Plot".  A description of this type of plot, taken from
> "CHAOS An Introduction to Dynamical Systems" by Alligood, Sauer, Yorke, is
> "A cobweb plot illustrates convergence to an attracting fixed point of
> g(x)=2x(1-x). Let x0=0.1 be the initial condition. Then the first iterate is
> x1=g(x0)=0.18. Note that the point (x0,x1) lies on the function graph, and
> (x1,x1) lies on the diagonal line. Connect these points with a horizontal
> dotted line to make a path.  Then find x2=g(x1)=0.2952, and continue the
> path with a vertical dotted line to (x1, x2) and with a horizontal dotted
> line to (x2, x2). An entire orbit can be mapped out this way."
> I can create the data in a procedural program and then plot the list that
> results.  Can anyone think of a more elegant, Mathematica oriented,
> approach?  Thanks in advance
> Dr. Jon Joseph
> VP of Advanced Technology
> Nicolet Biomedical
> 5225 Verona Road
> Madison WI 53711
> jjoseph at

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