# Chaotic Dynamical System

- Institution: IIT Delhi
- Department: Mathematics
- Teacher: Prof. Anima Nagar
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [NPTEL](https://nptel.ac.in/courses/111102110)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/111102110)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Lecture 1 The beginning](https://invisiblenetwork.ai/learn/nptel/111102110/eb6b6ff3ded1) (Video)
2. [Elementary Concepts](https://invisiblenetwork.ai/learn/nptel/111102110/922f53639e64) (Video)
3. [Elementary Concepts (cont.)](https://invisiblenetwork.ai/learn/nptel/111102110/69088b3c42d4) (Video)
4. [More on orbits](https://invisiblenetwork.ai/learn/nptel/111102110/b2396bb4181e) (Video)
5. [Peiods of Periodic Points](https://invisiblenetwork.ai/learn/nptel/111102110/79c351dd8f7f) (Video)
6. [Scrambled Sets](https://invisiblenetwork.ai/learn/nptel/111102110/abdca429369f) (Video)
7. [Sensitive Dependence on Initial Conditions](https://invisiblenetwork.ai/learn/nptel/111102110/980adff4db6b) (Video)
8. [A Population Dynamics Model](https://invisiblenetwork.ai/learn/nptel/111102110/8290585a1065) (Video)
9. [Bifurcations](https://invisiblenetwork.ai/learn/nptel/111102110/dfd0ed316a4a) (Video)
10. [Nonlinear Systems](https://invisiblenetwork.ai/learn/nptel/111102110/c0616d548088) (Video)
11. [Horseshoe Attractor](https://invisiblenetwork.ai/learn/nptel/111102110/db940cba4b30) (Video)
12. [Dynamics of the Horseshoe Attractor](https://invisiblenetwork.ai/learn/nptel/111102110/0e5d8ccdcbf3) (Video)
13. [Recurrence](https://invisiblenetwork.ai/learn/nptel/111102110/dad1e00eaf92) (Video)
14. [Recurrence (Cont.)](https://invisiblenetwork.ai/learn/nptel/111102110/6f8be8e34c90) (Video)
15. [Transitivity](https://invisiblenetwork.ai/learn/nptel/111102110/1a31b5e0747d) (Video)
16. [Devaney's Chaos](https://invisiblenetwork.ai/learn/nptel/111102110/82ac03d935ad) (Video)
17. [Transitivity = Chaos on Intervals](https://invisiblenetwork.ai/learn/nptel/111102110/fdaaea243ed6) (Video)
18. [Stronger forms of Transitivity](https://invisiblenetwork.ai/learn/nptel/111102110/aff7f2e05f64) (Video)
19. [Chaotic Properties of Mixing Systems](https://invisiblenetwork.ai/learn/nptel/111102110/af2aeebafb88) (Video)
20. [Weakly Mixing & Chaos](https://invisiblenetwork.ai/learn/nptel/111102110/98aa67a9c3db) (Video)
21. [Strongly Transitive Systems](https://invisiblenetwork.ai/learn/nptel/111102110/11c2aa6603ea) (Video)
22. [Strongly Transitive Systems (cont.)](https://invisiblenetwork.ai/learn/nptel/111102110/bf4fe8a20b34) (Video)
23. [Introduction to Symbolic Dynamics](https://invisiblenetwork.ai/learn/nptel/111102110/0355f44bc3b9) (Video)
24. [Shift Spaces](https://invisiblenetwork.ai/learn/nptel/111102110/bd89e87dde68) (Video)
25. [Subshifts of Finite Type](https://invisiblenetwork.ai/learn/nptel/111102110/627620e9b22c) (Video)
26. [26. Subshifts of Finite Type (cont.), Chatoic Dynamical Systems](https://invisiblenetwork.ai/learn/nptel/111102110/db583d77d7fd) (Video)
27. [Measuring Chaos - Topological Entropy](https://invisiblenetwork.ai/learn/nptel/111102110/17d1319a74b0) (Video)
28. [Topological Entropy - Adler's Version](https://invisiblenetwork.ai/learn/nptel/111102110/759772ab1d31) (Video)
29. [Bowen's Definition of Topological Entropy](https://invisiblenetwork.ai/learn/nptel/111102110/0226d49c2533) (Video)
30. [Equivalance of the two definitions of Topological Entropy](https://invisiblenetwork.ai/learn/nptel/111102110/e21e6cea59ae) (Video)
31. [Linear Systems in Two Dimentions](https://invisiblenetwork.ai/learn/nptel/111102110/8cb9c9f66c8b) (Video)
32. [Asymptotic Properties of Orbits of Linear Transformation in IR2](https://invisiblenetwork.ai/learn/nptel/111102110/0e4a5c19bbf9) (Video)
33. [Hyperbolic Toral Automorphisms](https://invisiblenetwork.ai/learn/nptel/111102110/55191d9cceaa) (Video)
34. [Chaos in Toral Automorphisms](https://invisiblenetwork.ai/learn/nptel/111102110/dc60a5faa0e7) (Video)
35. [Chaotic Attractors of Henon Maps](https://invisiblenetwork.ai/learn/nptel/111102110/db31b22199b0) (Video)