Linear Discrete Dynamical System

Abstract

This article presents an introductory study on Mathematical models by using the linear discrete dynamical systems. The basic principles, definitions and some problems modeled by the linear discrete dynamical systems of one and two variables are introduced, along with the illustrations of their dynamical behaviors by graph plotting of the variable points. The convergence, divergence and the periodic behaviors are discussed, including the analysis of conditions for convergence and how to calculate the limit points of the convergence systems. From this study, it is found that the linear discrete dynamical systems of one and two variables can give the model behaviors and lead to various interesting analytical properties.