I know this is basic, yet I would like to know the reason why this happens.
I'm playing with fortran doing the standard, suppose I have a initial condition between [0:2pi]
with a chaoticity parameter K=1.0. If I want to repeat the experiment numerically I read from
a file the initial condition that I use in the first experiment. I check the results by looking at it
and I notice that although I read and start with the same number (e.g. 0.475265000237136 2.58735041435918)
after 3 or 5 steps of applying the map over this initial conditions I see differences in the numerical results.
This obviously says that there's something different between the data read from a file and the data that one
creates to to calculations on the fly. Why is that?