Math 2.0

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Chaotic Dynamical Systems DK90ST0F6S

URIm2://res/DK90ST0F6S
Kindcourse
CreatorsAnima Nagar (instructor)
Date2018-01-02
Scopein
Idscourse 049tgcd06:111102110

Expressions

e1: edition

Languageen
Date2018-01-02
Contents
  • part 1: Week 1
  • session 1: Lecture 1 The beginning
  • session 2: Elementary Concepts
  • session 3: Elementary Concepts (cont.)
  • part 2: Week 2
  • session 4: More on orbits
  • session 5: Peiods of Periodic Points
  • session 6: Scrambled Sets
  • part 3: Week 3
  • session 7: Sensitive Dependence on Initial Conditions
  • session 8: A Population Dynamics Model
  • session 9: Bifurcations
  • part 4: Week 4
  • session 10: Nonlinear Systems
  • session 11: Horseshoe Attractor
  • session 12: Dynamics of the Horseshoe Attractor
  • part 5: Week 5
  • session 13: Recurrence
  • session 14: Recurrence (Cont.)
  • session 15: Transitivity
  • part 6: Week 6
  • session 16: Devaney's Chaos
  • session 17: Transitivity = Chaos on Intervals
  • session 18: Stronger forms of Transitivity
  • part 7: Week 7
  • session 19: Chaotic Properties of Mixing Systems
  • session 20: Weakly Mixing & Chaos
  • session 21: Strongly Transitive Systems
  • part 8: Week 8
  • session 22: Strongly Transitive Systems (cont.)
  • session 23: Introduction to Symbolic Dynamics
  • session 24: Shift Spaces
  • part 9: Week 9
  • session 25: Subshifts of Finite Type
  • session 26: 26. Subshifts of Finite Type (cont.), Chatoic Dynamical Systems
  • session 27: Measuring Chaos - Topological Entropy
  • part 10: Week 10
  • session 28: Topological Entropy - Adler's Version
  • session 29: Bowen's Definition of Topological Entropy
  • session 30: Equivalance of the two definitions of Topological Entropy
  • part 11: Week 11
  • session 31: Linear Systems in Two Dimentions
  • session 32: Asymptotic Properties of Orbits of Linear Transformation in IR2
  • session 33: Hyperbolic Toral Automorphisms
  • part 12: Module 12
  • session 34: Chaos in Toral Automorphisms
  • session 35: Chaotic Attractors of Henon Maps

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