# Dynamics of Physical System

Indian Institute of Technology Kharagpur

This course covers lessons on newton's method and constraints, bond graph approach, high dimensional linear systems and dynamics of non-linear systems.

Course topics:

• Introduction to System Elements
• Newton's Method and Constraints
• Derivation of the Lagrangian Equation
• Using the lagrangian Equation to Obtain Differential Equations
• Obtaining First Order Equations
• Application of the Hamiltonian Method
• Obtaining Differential Equations Using Kirchoff's Laws
• The Graph Theory Approach for Electrical Circuits
• The Bond Graph Approach
• Numerical Solution of Differential Equations
• Dynamics in the State Space
• Vector Field Around Equilibrium Points
• High Dimensional Linear Systems
• Linear Systems with External Input
• Dynamics of Nonlinear Systems
• Discrete-Time Dynamical Systems
• ##### Lecture - 1 Introduction to System Elements
Prof. S. Banerjee
• ##### Lecture -2 Newtons Method and Constraints
Prof. S. Banerjee
• ##### Lecture - 3 Derivation of the Lagrangian Equation
Prof. S. Banerjee
• ##### Lecture - 4 Using the lagrangian Equation to Obtain Differential Equations(Part-I)
Prof. S. Banerjee
• ##### Lecture - 5 Using the lagrangian Equation to Obtain Differential Equations(Part-II)
Prof. S. Banerjee
• ##### Lecture - 6 Using the lagrangian Equation to Obtain Differential Equations(Part-III)
Prof. S. Banerjee
• ##### Lecture - 7 Using the lagrangian Equation to Obtain Differential Equations(Part-IV)
Prof. S. Banerjee
• ##### Lecture - 8 Obtaining First Order Equations
Prof. S. Banerjee
• ##### Lecture - 9 Application of the Hamiltonian Method
Prof. S. Banerjee
• ##### Lecture - 10 Obtaining Differential Equations Using Kirchoff&#39;s Laws
Prof. S. Banerjee
• ##### Lecture - 11 The Graph Theory Approach for Electrical Circuits(Part-I)
Prof. S. Banerjee
• ##### Lecture - 12 The Graph Theory Approach for Electrical Circuits(Part-II)
Prof. S. Banerjee
• ##### Lecture - 13 The Bond Graph Approach-I
Prof. S. Banerjee
• ##### Lecture - 14 The Bond Graph Approach-II
Prof. S. Banerjee
• ##### Lecture - 15 The Bond Graph Approach-III
Prof. S. Banerjee
• ##### Lecture - 16 The Bond Graph Approach-IV
Prof. S. Banerjee
• ##### Lecture - 17 The Bond Graph Approach-V
Prof. S. Banerjee
• ##### Lecture - 18 The Bond Graph Approach-VI
Prof. S. Banerjee
• ##### Lecture - 19 The Bond Graph Approach-VII
Prof. S. Banerjee
• ##### Lecture - 20 Numerical Solution of Differential Equations
Prof. S. Banerjee
• ##### Lecture - 21 Dynamics in the State Space
Prof. S. Banerjee
• ##### Lecture - 22 Vector Field Around Equilibrium Points-I
Prof. S. Banerjee
• ##### Lecture - 23 Vector Field Around Equilibrium Points-II
Prof. S. Banerjee
• ##### Lecture - 24 Vector Field Around Equilibrium Points-III
Prof. S. Banerjee
• ##### Lecture - 25 Vector Field Around Equilibrium Points-IV
Prof. S. Banerjee
• ##### Lecture - 26 High Dimensional Linear Systems
Prof. S. Banerjee
• ##### Lecture - 27 Linear Systems with External Input-I
Prof. S. Banerjee
• ##### Lecture - 28 Linear Systems with External Input-II
Prof. S. Banerjee
• ##### Lecture - 29 Linear Systems with External Input-III
Prof. S. Banerjee
• ##### Lecture - 30 Dynamics of Nonlinear Systems-I
Prof. S. Banerjee
• ##### Lecture - 31 Dynamics of Nonlinear Systems-II
Prof. S. Banerjee
• ##### Lecture - 32 Dynamics of Nonlinear Systems-III
Prof. S. Banerjee
• ##### Lecture - 33 Discrete-Time Dynamical Systems-I
Prof. S. Banerjee
• ##### Lecture - 34 Discrete-Time Dynamical Systems-II
Prof. S. Banerjee