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