Chaos, Fractals and Dynamical Systems

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

Course Curriculum

Lecture – 1 Representations of Dynamical Systems Details 54:56
Lecture – 2 Vector Fields of Nonlinear Systems Details 56:44
Lecture – 3 Limit Cycles Details 56:22
Lecture – 4 The Lorenz Equation – I Details 53:35
Lecture – 5 The Lorenz Equation – II Details 56:37
Lecture – 6 The Rossler Equation and Forced Pendulum Details 58:11
Lecture – 7 The Chua’s Circuit Details 54:41
Lecture – 8 Discrete Time Dynamical Systems Details 55:37
Lecture – 9 The Logistic Map and Period doubling Details 55:25
Lecture – 10 Flip and Tangent Bifurcations Details 56:20
Lecture – 11 Intermittency Transcritical and pitchfork Details 55:31
Lecture – 12 Two Dimensional Maps Details 54:49
Lecture – 13 Bifurcations in Two Dimensional Maps Details 53:47
Lecture – 14 Introduction to Fractals Details 52:29
Lecture – 15 Mandelbrot Sets and Julia Sets Details 53:37
Lecture – 16 The Space Where Fractals Live Details 53:59
Lecture – 17 Interactive Function Systems Details 56:3
Lecture – 18 IFS Algorithms Details 0:55
Lecture – 19 Fractal Image Compression Details 51:25
Lecture – 20 Stable and Unstable Manifolds Details 55:24
Lecture – 21 Boundary Crisis and Interior Crisis Details 56:52
Lecture – 22 Statistics of Chaotic Attractors Details 57:4
Lecture – 23 Matrix Times Circle : Ellipse Details 52:26
Lecture – 24 Lyapunov Exponent Details 53:22
Lecture – 25 Frequency Spectra of Orbits Details 55:28
Lecture – 26 Dynamics on a Torus Details 54:41
Lecture – 27 Dynamics on a Torus Details 54:48
Lecture – 28 Analysis of Chaotic Time Series Details 56:10
Lecture – 29 Analysis of Chaotic Time Series Details 51:12
Lecture – 30 Lyapunou Function and Centre Manifold Theory Details 1:42
Lecture – 31 Non-Smooth Bifurcations Details 54:19
Lecture – 32 Non-Smooth Bifurcations Details 54:51
Lecture – 33 Normal from for Piecewise Smooth 2D Maps Details 54:10
Lecture – 34 Bifurcations in Piecewise Linear 2D Maps Details 55:32
Lecture – 35 Bifurcations in Piecewise Linear 2D Maps Details 52:59
Lecture – 36 Multiple Attractor Bifurcation and Dangerous Details 59:21
Lecture – 37 Dynamics of Discontinuous Maps Details 56:39
Lecture – 38 Introduction to Floquet Theory Details 57:11
Lecture – 39 The Monodromy Matrix and the Saltation Matrix Details 57:37
Lecture – 40 Control of Chaos Details 54:17

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