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