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Re: Recursion

• To: mathgroup at smc.vnet.net
• Subject: [mg62308] Re: Recursion
• From: Peter Pein <petsie at dordos.net>
• Date: Sat, 19 Nov 2005 23:18:34 -0500 (EST)
• References: <dln0s1$ga7$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

JikaiRF at aol.com schrieb:
> Dear Sirs,
> 
> I would like to obtain trajectories with respect to x, from the following
> relationship:
>                
>                
> 
>                     x(t+1)=a x(t)(1-x(t))
> 
>  
> 
> Here, a means a constant with a constraint, 1 < a < 4, t   a positive integer 
> and x a variable.
> I know this difference equation cannot be solved by mathematics directly, 
> because it is not linear.
> So, I would like to follow a numerical series in terms of x, and I need to 
> know how to program Mathematica for this.
> 
> I look forward to your response.
> 
>      
> 
>      Sincerely,
>      
>      Fujio Takata.
> 
Hi,

you might want to take a look at 
http://mathworld.wolfram.com/LogisticMap.html and
http://library.wolfram.com/search/?q=logistic&sitesearch=library.wolfram.com%2Finfocenter&x=9&y=15
especially http://library.wolfram.com/infocenter/MathSource/579/

Have fun,
   Peter