Chaos, Fractals and Dynamical Systems

Chaos, Fractals and Dynamical Systems
Lecture Series on Chaos, Fractals and Dynamical Systems by Prof.S.Banerjee,Department of Electrical Engineering, IIT Kharagpur.
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