ABSTRACT
This chapter uses discrete dynamical system (DDS) extensively which is a "difference equation". It begin with basic definitions. It uses flow diagrams to help how the dependent variable changes. Flow diagrams help to see the paradigm and to put the problem into mathematical terms. The chapter models dynamical systems that have constant coefficients. It examines a graph of the DDS’s iterations using Maple. If the values reach a specific value and remain constant, the graph levels, then that value is an equilibrium value. The chapter examines models of systems of DDS. For selected initial conditions, the chapter builds numerical solutions to get a sense of long-term behavior of the system. It explores starting values near the equilibrium values to see if by starting close to an equilibrium value.
