function iterates = iterate_logistic(x,c,N)
%
% N the number of iterates to run
%
% Written by:
% --
% John L. Weatherwax                2009-04-21
%
% email: wax@alum.mit.edu
%
% Please send comments and especially bug reports to the
% above email address.
%
% Problem on EPage 62; Solutions on EPage 161
%
%-----

iterates = zeros( 1, N );
iterates(1) = x;
for ii=2:N
  xp1 = c * x * ( 1 - x );
  iterates(ii) = xp1; 
end