Introduction to System Elements

Newton's Method and Constraints

Derivation of the Lagrangian Equation

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

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

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

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

Obtaining First Order Equations

Application of the Hamiltonian Method

Obtaining Differential Equations Using Kirchoff's Laws

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

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

The Bond Graph Approach-I

The Bond Graph Approach-II

The Bond Graph Approach-III

The Bond Graph Approach-IV

The Bond Graph Approach-V

The Bond Graph Approach-VI

The Bond Graph Approach-VII

Numerical Solution of Differential Equations

Dynamics in the State Space

Vector Field Around Equilibrium Points-I

Vector Field Around Equilibrium Points-II

Vector Field Around Equilibrium Points-III

Vector Field Around Equilibrium Points-IV

High Dimensional Linear Systems

Linear Systems with External Input-I

Linear Systems with External Input-II

Linear Systems with External Input-III?

Dynamics of Nonlinear Systems-I

Dynamics of Nonlinear Systems-II

Dynamics of Nonlinear Systems-III

Discrete-Time Dynamical Systems-I

Discrete-Time Dynamical Systems-II