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Course11110211035 lectures

Chaotic Dynamical System

Prof. Anima Nagar · IIT Delhi

Start with lecture 1 At NPTEL

Lectures

Week 1

  1. Lecture 1 The beginning Video
  2. Elementary Concepts Video
  3. Elementary Concepts (cont.) Video

Week 2

  1. More on orbits Video
  2. Peiods of Periodic Points Video
  3. Scrambled Sets Video

Week 3

  1. Sensitive Dependence on Initial Conditions Video
  2. A Population Dynamics Model Video
  3. Bifurcations Video

Week 4

  1. Nonlinear Systems Video
  2. Horseshoe Attractor Video
  3. Dynamics of the Horseshoe Attractor Video

Week 5

  1. Recurrence Video
  2. Recurrence (Cont.) Video
  3. Transitivity Video

Week 6

  1. Devaney's Chaos Video
  2. Transitivity = Chaos on Intervals Video
  3. Stronger forms of Transitivity Video

Week 7

  1. Chaotic Properties of Mixing Systems Video
  2. Weakly Mixing & Chaos Video
  3. Strongly Transitive Systems Video

Week 8

  1. Strongly Transitive Systems (cont.) Video
  2. Introduction to Symbolic Dynamics Video
  3. Shift Spaces Video

Week 9

  1. Subshifts of Finite Type Video
  2. 26. Subshifts of Finite Type (cont.), Chatoic Dynamical Systems Video
  3. Measuring Chaos - Topological Entropy Video

Week 10

  1. Topological Entropy - Adler's Version Video
  2. Bowen's Definition of Topological Entropy Video
  3. Equivalance of the two definitions of Topological Entropy Video

Week 11

  1. Linear Systems in Two Dimentions Video
  2. Asymptotic Properties of Orbits of Linear Transformation in IR2 Video
  3. Hyperbolic Toral Automorphisms Video

Module 12

  1. Chaos in Toral Automorphisms Video
  2. Chaotic Attractors of Henon Maps Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Delhi
Department
Mathematics
Teacher
Prof. Anima Nagar
Level
Undergraduate
Language
English
Subjects
Mathematics
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
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