Shankar, Matap2024-02-052024-02-052024ROLL NO.186123104https://gyan.iitg.ac.in/handle/123456789/2545Supervisor: Bora, Swaroop NandanStudying the behavior of a dynamical system and the dependency of its solution on the initial state or initial condition began in the late 1880s. Describing the dynamics of dynamical systems as a function of time on the state space can generate a differential equation. Thus, the theory of dynamical systems may be said to be a special and important topic in the theory of differential equations. It falls under the qualitative theory which is mainly concerned with properties which are not quantified. The study of qualitative theory leads to a better understanding of the dynamical systems.enMATHEMATICSThesis