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Dynamics of Physical Systems

Dynamics of Physical Systems. Instructor: Prof. S. Banerjee, Department of Electrical Engineering, IIT Kharagpur. This course covers lessons on newton's method and constraints, derivation of the Lagrangian equation, bond graph approach, vector field around equilibrium points, high dimensional linear systems and dynamics of nonlinear systems.

One of the important elements of the engineering practice is to be able to predict the behavior of the system that we design. For example, if we design a circuit, we should be able to predict how it will perform, how it will behave under certain circumstances. If we are designing a mechanical system, we should be able to do that. And that is generally done by forming a mathematical model of the system, applying different types of inputs and seeing its performance. (from nptel.ac.in)

Lecture 30 - Dynamics of Nonlinear Systems, Part I

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Lecture 01 - Introduction to System Elements

Lecture 02 - Newton's Method and Constraints

Lecture 03 - Derivation of the Lagrangian Equation

Lecture 04 - Using the Lagrangian Equation to Obtain Differential Equations, Part I

Lecture 05 - Using the Lagrangian Equation to Obtain Differential Equations, Part II

Lecture 06 - Using the Lagrangian Equation to Obtain Differential Equations, Part III

Lecture 07 - Using the Lagrangian Equation to Obtain Differential Equations, Part IV

Lecture 08 - Obtaining First Order Equations

Lecture 09 - 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, Part I

Lecture 14 - The Bond Graph Approach, Part II

Lecture 15 - The Bond Graph Approach, Part III

Lecture 16 - The Bond Graph Approach, Part IV

Lecture 17 - The Bond Graph Approach, Part V

Lecture 18 - The Bond Graph Approach, Part VI

Lecture 19 - The Bond Graph Approach, Part VII

Lecture 20 - Numerical Solution of Differential Equations

Lecture 21 - Dynamics in the State Space

Lecture 22 - Vector Field around Equilibrium Points, Part I

Lecture 23 - Vector Field around Equilibrium Points, Part II

Lecture 24 - Vector Field around Equilibrium Points, Part III

Lecture 25 - Vector Field around Equilibrium Points, Part IV

Lecture 26 - High Dimensional Linear Systems

Lecture 27 - Linear Systems with External Input, Part I

Lecture 28 - Linear Systems with External Input, Part II

Lecture 29 - Linear Systems with External Input, Part III

Lecture 30 - Dynamics of Nonlinear Systems, Part I

Lecture 31 - Dynamics of Nonlinear Systems, Part II

Lecture 32 - Dynamics of Nonlinear Systems, Part III

Lecture 33 - Discrete-Time Dynamical Systems, Part I

Lecture 34 - Discrete-Time Dynamical Systems, Part II