Dynamics of Physical Systems


Lecture 1 - Introduction to System Elements


Lecture 2 - Newton's Method and Constraints


Lecture 3 - Derivation of the Lagrangian Equation


Lecture 4 - Using the lagrangian Equation to Obtain Differential Equations (Part-I)


Lecture 5 - Using the lagrangian Equation to Obtain Differential Equations (Part-II)


Lecture 6 - Using the lagrangian Equation to Obtain Differential Equations (Part-III)


Lecture 7 - Using the lagrangian Equation to Obtain Differential Equations (Part-IV)


Lecture 8 - Obtaining First Order Equations


Lecture 9 - Application of the Hamiltonian Method


Lecture 10 - Obtaining Differential Equations Using Kirchoff's Laws


Lecture 11 - The Graph Theory Approach for Electrical Circuits (Part-I)


Lecture 12 - The Graph Theory Approach for Electrical Circuits (Part-II)


Lecture 13 - The Bond Graph Approach - I


Lecture 14 - The Bond Graph Approach - II


Lecture 15 - The Bond Graph Approach - III


Lecture 16 - The Bond Graph Approach - IV


Lecture 17 - The Bond Graph Approach - V


Lecture 18 - The Bond Graph Approach - VI


Lecture 19 - The Bond Graph Approach - VII


Lecture 20 - Numerical Solution of Differential Equations


Lecture 21 - Dynamics in the State Space


Lecture 22 - Vector Field Around Equilibrium Points - I


Lecture 23 - Vector Field Around Equilibrium Points - II


Lecture 24 - Vector Field Around Equilibrium Points - III


Lecture 25 - Vector Field Around Equilibrium Points - IV


Lecture 26 - High Dimensional Linear Systems


Lecture 27 - Linear Systems with External Input - I


Lecture 28 - Linear Systems with External Input - II


Lecture 29 - Linear Systems with External Input - III


Lecture 30 - Dynamics of Nonlinear Systems - I


Lecture 31 - Dynamics of Nonlinear Systems - II


Lecture 32 - Dynamics of Nonlinear Systems - III


Lecture 33 - Discrete-Time Dynamical Systems - I


Lecture 34 - Discrete-Time Dynamical Systems - II