Introduction to Dynamical System

This lecture provides an introduction to dynamical systems, covering topics such as equilibrium points, types, and examples, nonlinear dynamical system stability, representation, examples, DS as a vector field, path integral, phase plot, Lyapunov stability, contraction analysis, trajectory of a DS, solution to ODE, vector field, path integral, phase plot of pendulum DS, stability of equilibrium points, stability classification, phase plot of pendulum DS with and without damping, coupled DS, first and second-order DS, trajectory solutions, and stability analysis.