[Date Index] [Thread Index] [Author Index]

Re: Cobweb Plot

• To: mathgroup at smc.vnet.net
• Subject: [mg27513] Re: Cobweb Plot
• From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
• Date: Sat, 3 Mar 2001 03:39:56 -0500 (EST)
• Organization: Universitaet Leipzig
• References: <97l3cs$jfm@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

Hi,

something like this ?

http://www.mathconsult.ch/showroom/pubs/MathProg/htmls/p2-1.htm

Buy the book by Romand Maeder

http://www.amazon.com/exec/obidos/ASIN/0124649920/mathconsdrrmder/107-1760968-0378115


Regards
  Jens

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 nicoletbiomedical.com