NPTEL : Chaos, Fractals and Dynamic Systems (Electrical Engineering)

Co-ordinators : Prof. S. Banerjee


Lecture 1 - Representations of Dynamical Systems

Lecture 2 - Vector Fields of Nonlinear Systems

Lecture 3 - Limit Cycles

Lecture 4 - The Lorenz Equation - I

Lecture 5 - The Lorenz Equation - II

Lecture 6 - The Rossler Equation and Forced Pendulum

Lecture 7 - The Chua's Circuit

Lecture 8 - Discrete Time Dynamical Systems

Lecture 9 - The Logistic Map and Period doubling

Lecture 10 - Flip and Tangent Bifurcations

Lecture 11 - Intermittency Transcritical and pitchfork

Lecture 12 - Two Dimensional Maps

Lecture 13 - Bifurcations in Two Dimensional Maps

Lecture 14 - Introduction to Fractals

Lecture 15 - Mandelbrot Sets and Julia Sets

Lecture 16 - The Space Where Fractals Live

Lecture 17 - Interactive Function Systems

Lecture 18 - IFS Algorithms

Lecture 19 - Fractal Image Compression

Lecture 20 - Stable and Unstable Manifolds

Lecture 21 - Boundary Crisis and Interior Crisis

Lecture 22 - Statistics of Chaotic Attractors

Lecture 23 - Matrix Times Circle : Ellipse

Lecture 24 - Lyapunov Exponent

Lecture 25 - Frequency Spectra of Orbits

Lecture 26 - Dynamics on a Torus

Lecture 27 - Dynamics on a Torus

Lecture 28 - Analysis of Chaotic Time Series

Lecture 29 - Analysis of Chaotic Time Series

Lecture 30 - Lyapunou Function and Centre Manifold Theory

Lecture 31 - Non-Smooth Bifurcations

Lecture 32 - Non-Smooth Bifurcations

Lecture 33 - Normal from for Piecewise Smooth 2D Maps

Lecture 34 - Bifurcations in Piecewise Linear 2D Maps

Lecture 35 - Bifurcations in Piecewise Linear 2D Maps

Lecture 36 - Multiple Attractor Bifurcation and Dangerous

Lecture 37 - Dynamics of Discontinuous Maps

Lecture 38 - Introduction to Floquet Theory

Lecture 39 - The Monodromy Matrix and the Saltation Matrix

Lecture 40 - Control of Chaos