Macsyma Computation of Local Minimal Realization of Dynamical Systems of which Generating Power Series are Finite

We present here a package of Macsyma programs, allowing the manipulation of words, and noncommutative power series over some finite alphabet. On the basis of the works of M.Fliess and C.Reutenauer, concerning local realization of nonlinear dynamical systems, we present an algorithm allowing the computation of the local and minimal realization of finite generating power series. We describe that algorithm in the computer algebra system Macsyma.