Abdi Tadesse (PhD)Cherkos Meseret2018-07-172023-11-042018-07-172023-11-042011-01-25http://etd.aau.edu.et/handle/123456789/8870This project is based on equations that allow us to compute the value of a function recursively from a given set of values. In the main, Hartman-Grobman theorem is proved by using different lemmas and other theorems. Population modeling with difference equations by converting to discrete version is briefly discussed. The notions of fixed and periodic points of dynamical systems are considered.enDiscrete Dynamical SystemsThesis