what is the the fixed point system
A fixed point is a point that does not change upon application of a map, system of differential equations, etc. In particular, a fixed point of a function f(x) is a point x_0 such that f(x_0)=x_0. (1) The fixed point of a function f starting from an initial value x can be computed in the Wolfram Language using FixedPoint[f, x].