Cursos en youtube: Caos, fractales y sistemas dinámicos

El verano es buena época para aprender y estudiar (si no estás liado con exámenes). Me permito recomendarte un curso en inglés impartido por el indio S. Banerjee, del Departmento de Ingeniería Eléctrica del IIT Kharagpur, titulado “Chaos, Fractals & Dynamic Systems,” disponible en youtube (el curso está bastante bien):

01 – Representations of Dynamical Systems [54:56]

02 – Vector Fields of Nonlinear Systems [56:44]

03 – Limit Cycles [56:22]

04 – The Lorenz Equation – I [53:35]

05 – The Lorenz Equation – II [56:37]

06 – The Rossler Equation and Forced Pendulum [58:11]

07 – The Chuas Circuit [54:41]

08 – Discrete Time Dynamical Systems [55:37]

09 – 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 – Lyapunov 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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miquelmiquel

Gracias por el enlace.
Ademas de estas hay una serie de Clases impartidas por la Univ. de Stanford. Aqui en Valencia se intentó hacer en el politecnico pero creo que no llego a nada.

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