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Course10810505440 lectures

Chaos, Fractals & Dynamic Systems

Prof. S. Banerjee · IIT Kharagpur

Start with lecture 1 At NPTEL

Lectures

Chaos, Fractals & Dynamic Systems

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

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Kharagpur
Department
Electrical Engineering
Teacher
Prof. S. Banerjee
Level
Undergraduate
Language
English
Subjects
Engineering
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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