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Re: newbie: can't Manipulate ListPlot of recurrence

  • To: mathgroup at smc.vnet.net
  • Subject: [mg96779] Re: newbie: can't Manipulate ListPlot of recurrence
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Wed, 25 Feb 2009 04:00:06 -0500 (EST)
  • Organization: Uni Leipzig
  • References: <go0j40$n0f$1@smc.vnet.net>
  • Reply-to: kuska at informatik.uni-leipzig.de

Hi,

you doing almost everything wrong. You mean

Manipulate[
  ListPlot[ NestList[a # (1 - #) &, y, 50]], {{a, 3.5},
    0, 4}, {{y, 0.4}, 0, 1}]

Atleast the assigment y=a y (1-y) in the ListPlot[] command
will change you y value on and on and so it is no wonder
that the slider is unmovable and moves unexpected.

Regards
   Jens

Tom Roche wrote:
> summary: I'm trying to Manipulate the logistic map. I can ListPlot it,
> but when I try to Manipulate, the UI behaves weirdly.
> 
> details:
> 
> As advertised by the Subject:, I'm new to Mathematica (specifically
> 7.0.0 for Students for 32-bit Windows on XP Pro) so please excuse any
> lapses in terminology. I'd also appreciate pointers to specific docs
> rather than just an RTFM.
> 
> I'm trying to model the logistic map y=a y (1-y):
> 
> http://en.wikipedia.org/wiki/Logistic_map
> http://mathworld.wolfram.com/LogisticMap.html
> http://www.phy.duke.edu/~palmer/notebooks/LogisticMap.nb
> 
> To start with I just tried to plot it, which works:
> 
> Clear[a, y];
> a=3.5;
> y=0.4;
> ListPlot[Table[y=a y (1-y),{50}],Joined->True]
> 
> I'd like to Manipulate a and y, but when I try to
> 
> Clear[a, y];
> Manipulate[
>   ListPlot[Table[y=a y (1-y),{50}],Joined->True], {{a, 3.5}, 0,  4},
> {{y, 0.4}, 0, 1}]
> 
> I get weird behavior:
> 
> 1 initially the y slider oscillates
> 
> 2 initially the plot displays but flashes (apparently between two
>   phases) until I click one of the sliders
> 
> 3 the y slider will not move
> 
> 4 the a slider can be dragged, but to no effect (i.e. the plot does
>   not change)
> 
> 5 there are no error messages
> 
> What am I doing wrong? and how can I Manipulate this map?
> 
> TIA, Tom Roche <Tom_Roche at pobox.com>
> 


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