Services & Resources / Wolfram Forums
-----
 /
MathGroup Archive
2004
*January
*February
*March
*April
*May
*June
*July
*August
*September
*October
*November
*December
*Archive Index
*Ask about this page
*Print this page
*Give us feedback
*Sign up for the Wolfram Insider

MathGroup Archive 2004

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

Search the Archive

Fuzzy recursive map

  • To: mathgroup at smc.vnet.net
  • Subject: [mg52299] Fuzzy recursive map
  • From: Roger Bagula <tftn at earthlink.net>
  • Date: Sun, 21 Nov 2004 07:23:41 -0500 (EST)
  • Reply-to: tftn at earthlink.net
  • Sender: owner-wri-mathgroup at wolfram.com

I did this experiment in the early 90's and it was published in TFTN at 
that time.
It gives a relatively triangular cycle. It is based on a
differential equation like: ( on Kosco fuzzy logic)
dx/dt=fuzX(x,y)-x/2
dy/dt=fuzY(x,y)-y/2
It was just a dumb experiment that give a nice picture
and doesn't even have a good rationalization.
The x and y values in the cycle trajectory of the map exceed one.


Clear[x,y,a,b,s,g,a0]
(* fuzzy recursion map*)
(* FUZZY RECURSION OF SECOND TYPE *)
(*  by R.L.Bagula 2 May 1994 in  TFTN*)
digits=10000;
x[n_]:=x[n]=x[n-1]+(2*(1-Abs[x[n-1]-y[n-1]])-x[n-1])/2
y[n_]:=y[n]=y[n-1]+(2*(1-Abs[x[n-1]+y[n-1]-1])-y[n-1])/2
x[0]=.2;y[0]=.1;
a=Table[{x[n],y[n]},{n,0, digits}];
ListPlot[a, PlotRange->All]

Respectfully, Roger L. Bagula

tftn at earthlink.net, 11759Waterhill Road, Lakeside,Ca 92040-2905,tel: 619-5610814 :
alternative email: rlbtftn at netscape.net
URL :  http://home.earthlink.net/~tftn


  • Prev by Date: famous feather map
  • Next by Date: Re: the circle map
  • Previous by thread: famous feather map
  • Next by thread: Re: Fuzzy recursive map