Dynamics of Physical System

Lecture - 1 Introduction to System Elements.
Lecture -2 Newtons 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.