Learn · Chaotic Dynamical System

Lecture 18 of 35Week 6

Stronger forms of Transitivity

Prof. Anima Nagar · IIT Delhi

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Chaotic Dynamical System, IIT Delhi (at NPTEL)
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CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
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All the lectures

  1. Lecture 1 The beginning Video
  2. Elementary Concepts Video
  3. Elementary Concepts (cont.) Video
  4. More on orbits Video
  5. Peiods of Periodic Points Video
  6. Scrambled Sets Video
  7. Sensitive Dependence on Initial Conditions Video
  8. A Population Dynamics Model Video
  9. Bifurcations Video
  10. Nonlinear Systems Video
  11. Horseshoe Attractor Video
  12. Dynamics of the Horseshoe Attractor Video
  13. Recurrence Video
  14. Recurrence (Cont.) Video
  15. Transitivity Video
  16. Devaney's Chaos Video
  17. Transitivity = Chaos on Intervals Video
  18. Stronger forms of Transitivity Video
  19. Chaotic Properties of Mixing Systems Video
  20. Weakly Mixing & Chaos Video
  21. Strongly Transitive Systems Video
  22. Strongly Transitive Systems (cont.) Video
  23. Introduction to Symbolic Dynamics Video
  24. Shift Spaces Video
  25. Subshifts of Finite Type Video
  26. 26. Subshifts of Finite Type (cont.), Chatoic Dynamical Systems Video
  27. Measuring Chaos - Topological Entropy Video
  28. Topological Entropy - Adler's Version Video
  29. Bowen's Definition of Topological Entropy Video
  30. Equivalance of the two definitions of Topological Entropy Video
  31. Linear Systems in Two Dimentions Video
  32. Asymptotic Properties of Orbits of Linear Transformation in IR2 Video
  33. Hyperbolic Toral Automorphisms Video
  34. Chaos in Toral Automorphisms Video
  35. Chaotic Attractors of Henon Maps Video