|
|
 | | From: | Roger Bagula | | Subject: | Fuzzy recursive map | | Date: | Sat, 20 Nov 2004 21:26:20 GMT |
|
|
 | 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@earthlink.net, 11759Waterhill Road, Lakeside,Ca 92040-2905,tel: 619-5610814 :
alternative email: rlbtftn@netscape.net
URL : http://home.earthlink.net/~tftn
|
|
|
