Linear Dynamical Systems over Finite Rings

  title={Linear Dynamical Systems over Finite Rings},
  author={XU GUANGWU and Yi Ming Zou},
The problem of linking the structure of a finite linear dynamical system with its dynamics is well understood when the phase space is a vector space over a finite field. The cycle structure of such a system can be described by the elementary divisors of the linear function, and the problem of determining whether the system is a fixed point system can be answered by computing and factoring the system’s characteristic polynomial and minimal polynomial. It has become clear recently that the study… CONTINUE READING