Re: Simple Recursive Map
- To: mathgroup at smc.vnet.net
- Subject: [mg35425] Re: [mg35398] Simple Recursive Map
- From: "Johannes Ludsteck" <johannes.ludsteck at wiwi.uni-regensburg.de>
- Date: Fri, 12 Jul 2002 04:28:38 -0400 (EDT)
- Organization: Universitaet Regensburg
- Sender: owner-wri-mathgroup at wolfram.com
Dear Reuben,
use
Nest[{#[[2]]-a #[[1]]^2-1, b #[[1]]}&,{x0,y0},50]
or (easier to read)
rec[{x_,y_}]:= {y-a x^2-1, b x}
Nest[rec,{x0,y0},50]
Best regards,
Johannes
On 11 Jul 2002, at 5:24, Reuben wrote:
> I have the map
>
> x_n+1=y_n-a*(x_n)^2 - 1
> y_n+1=b*x_n
>
> If I specify a,b, x_0 and y_0, how can I make Mathematica iterate
> through this numerically to give me x_50 and y_50?
>
> Thanks
> Reuben
>
<><><><><><><><><><><><><><><><><><>
Johannes Ludsteck
Institut fuer Volkswirtschaftslehre
Lehrstuhl Prof. Dr. Moeller
Universitaet Regensburg
Universitaetsstrasse 31
93053 Regensburg
Tel +49/0941/943-2741