A study of dynamical system with some applications

Abstract

Dynamical system is mathematical formalization for any fixed rule which depends on time, these rules are described by differential equation and difference equation, which are also known as continuous and discrete time dynamical system. This work consists the basic concept and the behaviors of dynamical system, which are stability, bifurcation and chaos and their examples. Most of the parts of this work contain a continuous time system. Also, the little work is done about a discrete time system with an example.