Re: iterative method?

*To*: mathgroup at smc.vnet.net*Subject*: [mg95739] Re: [mg95699] iterative method?*From*: Bob Hanlon <hanlonr at cox.net>*Date*: Sun, 25 Jan 2009 21:50:51 -0500 (EST)*Reply-to*: hanlonr at cox.net

a = .2; b = .1; c = .9; d = .49; n=10; (* reduced from 50 for example *) initial={2,5}; f[{x_, y_}] := {(a*x + b*y)/c*x, d*x*y} data = NestList[f, initial, n]; ListLinePlot[Transpose[data]] Bob Hanlon ---- matt <trex1704 at yahoo.com> wrote: ============= How to find x_(n+1)=(a*x_n+b*y_n)/c*x_n , y_(n+1)=d*x_n*y_n using mathematica? I want to find a list of x and y when n=1,2,...,50 so I defined the function as f[{x_,y_}]:={a*x_n+b*y_n)/c*x_n,d*x_n*y_... } and then use the function NestList[f,{2,5},50] with initial value of x is 2 and y is 5 with this, I got the list of 50 values of (x,y). The problem is I want to plot graphs of x against n and y against n, n from 1 to 50 because I want to see what happened if n goes to infinity. But if use the method I just mentioned, I can only plot x against y. So do anyone have a clever method?? Btw...a,b,c and d are constants and given and x_n is supposed to be x (subscript n)...same case with x_(n+1) and the others