[R] dynamics of functions

[Tobias Verbeke]

Dear list,

I would like to study the dynamics of
functions using R (instead of mathematica e.g.),
i.e. the behavior of points under iteration
of a function.
So I tried (in vain) writing a function
myfunction <- function(f,n,x){...}
in order to compute f^{n}(x), f^{n}(x) being
the function f composed with itself n-1 times.
n is a natural number, and the argument x is
the abscissa of the point I would like to
`follow'.

Can someone give me a boost?

I appreciate your help,

Tobias Verbeke