Lectures in this course:40
1 - Representations of Dynamical Systems (54:56)
2 - Vector Fields of Nonlinear Systems (56:44)
3 - Limit Cycles (56:22)
4 - The Lorenz Equation - I (53:35)
5 - The Lorenz Equation - II (56:37)
6 - The Rossler Equation and Forced Pendulum (58:11)
7 - The Chua's Circuit (54:41)
8 - Discrete Time Dynamical Systems (55:37)
9 - The Logistic Map and Period doubling (55:25)
10 - Flip and Tangent Bifurcations (56:20)
11 - Intermittency Transcritical and pitchfork (55:31)
12 - Two Dimensional Maps (54:49)
13 - Bifurcations in Two Dimensional Maps (53:47)
14 - Introduction to Fractals (52:29)
15 - Mandelbrot Sets and Julia Sets (53:37)
16 - The Space Where Fractals Live (53:59)
17 - Interactive Function Systems (56:03)
18 - IFS Algorithms (55:00)
19 - Fractal Image Compression (51:25)
20 - Stable and Unstable Manifolds (55:24)
21 - Boundary Crisis and Interior Crisis (56:52)
22 - Statistics of Chaotic Attractors (57:04)
23 - Matrix Times Circle : Ellipse (52:26)
24 - Lyapunov Exponent (53:22)
25 - Frequency Spectra of Orbits (55:28)
26 - Dynamics on a Torus (54:41)
27 - Dynamics on a Torus (54:48)
28 - Analysis of Chaotic Time Series (56:10)
29 - Analysis of Chaotic Time Series (51:12)
30 - Lyapunou Function and Centre Manifold Theory (1:00:42)
31 - Non-Smooth Bifurcations (54:19)
32 - Non-Smooth Bifurcations (54:51)
33 - Normal from for Piecewise Smooth 2D Maps (54:10)
34 - Bifurcations in Piecewise Linear 2D Maps (55:32)
35 - Bifurcations in Piecewise Linear 2D Maps (52:59)
36 - Multiple Attractor Bifurcation and Dangerous (59:21)
37 - Dynamics of Discontinuous Maps (56:39)
38 - Introduction to Floquet Theory (57:11)
39 - The Monodromy Matrix and the Saltation Matrix (57:37)
40 - Control of Chaos (54:17)

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