# Chaos, Fractals & Dynamic Systems

- Institution: IIT Kharagpur
- Department: Electrical Engineering
- Teacher: Prof. S. Banerjee
- Level: Undergraduate
- Language: English
- Subjects: Engineering
- Source: [NPTEL](https://nptel.ac.in/courses/108105054)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/108105054)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Representations of Dynamical Systems](https://invisiblenetwork.ai/learn/nptel/108105054/74f457fd1133) (Video)
2. [Vector Fields of Nonlinear Systems](https://invisiblenetwork.ai/learn/nptel/108105054/7839d5a05044) (Video)
3. [Limit Cycles](https://invisiblenetwork.ai/learn/nptel/108105054/118470c90d53) (Video)
4. [The Lorenz Equation - I](https://invisiblenetwork.ai/learn/nptel/108105054/bb6fa4acd501) (Video)
5. [The Lorenz Equation - II](https://invisiblenetwork.ai/learn/nptel/108105054/404d5130115d) (Video)
6. [The Rossler Equation and Forced Pendulum](https://invisiblenetwork.ai/learn/nptel/108105054/1dc8ec21865a) (Video)
7. [The Chua's Circuit](https://invisiblenetwork.ai/learn/nptel/108105054/773f3247fc8e) (Video)
8. [Discrete Time Dynamical Systems](https://invisiblenetwork.ai/learn/nptel/108105054/ec09b92c1467) (Video)
9. [The Logistic Map and Period doubling](https://invisiblenetwork.ai/learn/nptel/108105054/e65d1116353b) (Video)
10. [Flip and Tangent Bifurcations](https://invisiblenetwork.ai/learn/nptel/108105054/2c0532c3e037) (Video)
11. [Intermittency Transcritical and pitchfork](https://invisiblenetwork.ai/learn/nptel/108105054/435ea7c0917b) (Video)
12. [Two Dimensional Maps](https://invisiblenetwork.ai/learn/nptel/108105054/7f2168b5147c) (Video)
13. [Bifurcations in Two Dimensional Maps](https://invisiblenetwork.ai/learn/nptel/108105054/18c1729e2d10) (Video)
14. [Introduction to Fractals](https://invisiblenetwork.ai/learn/nptel/108105054/e77e6bd10488) (Video)
15. [Mandelbrot Sets and Julia Sets](https://invisiblenetwork.ai/learn/nptel/108105054/031861a077db) (Video)
16. [The Space Where Fractals Live](https://invisiblenetwork.ai/learn/nptel/108105054/c351fc88d37e) (Video)
17. [Interactive Function Systems](https://invisiblenetwork.ai/learn/nptel/108105054/acba0c1c6faa) (Video)
18. [IFS Algorithms](https://invisiblenetwork.ai/learn/nptel/108105054/331a7f7014f4) (Video)
19. [Fractal Image Compression](https://invisiblenetwork.ai/learn/nptel/108105054/70ab74a13aa0) (Video)
20. [Stable and Unstable Manifolds](https://invisiblenetwork.ai/learn/nptel/108105054/1f37bee30f7f) (Video)
21. [Boundary Crisis and Interior Crisis](https://invisiblenetwork.ai/learn/nptel/108105054/c8ad1b922af7) (Video)
22. [Statistics of Chaotic Attractors](https://invisiblenetwork.ai/learn/nptel/108105054/deda734751d9) (Video)
23. [Matrix Times Circle : Ellipse](https://invisiblenetwork.ai/learn/nptel/108105054/2480bbaa44da) (Video)
24. [Lyapunov Exponent](https://invisiblenetwork.ai/learn/nptel/108105054/185e158b28d2) (Video)
25. [Frequency Spectra of Orbits](https://invisiblenetwork.ai/learn/nptel/108105054/dbc74127805d) (Video)
26. [Dynamics on a Torus](https://invisiblenetwork.ai/learn/nptel/108105054/cce93822422a) (Video)
27. [Dynamics on a Torus](https://invisiblenetwork.ai/learn/nptel/108105054/1e0dc4f4505e) (Video)
28. [Analysis of Chaotic Time Series](https://invisiblenetwork.ai/learn/nptel/108105054/b0108ecb2741) (Video)
29. [Analysis of Chaotic Time Series](https://invisiblenetwork.ai/learn/nptel/108105054/04dc007d3f75) (Video)
30. [Lyapunou Function and Centre Manifold Theory](https://invisiblenetwork.ai/learn/nptel/108105054/af8d7b0078e8) (Video)
31. [Non-Smooth Bifurcations](https://invisiblenetwork.ai/learn/nptel/108105054/8d22a4b9161e) (Video)
32. [Non-Smooth Bifurcations](https://invisiblenetwork.ai/learn/nptel/108105054/d88d8bf3a9ce) (Video)
33. [Normal from for Piecewise Smooth 2D Maps](https://invisiblenetwork.ai/learn/nptel/108105054/34da1fb1c9c0) (Video)
34. [Bifurcations in Piecewise Linear 2D Maps](https://invisiblenetwork.ai/learn/nptel/108105054/89f4a68391c6) (Video)
35. [Bifurcations in Piecewise Linear 2D Maps](https://invisiblenetwork.ai/learn/nptel/108105054/79bd38518211) (Video)
36. [Multiple Attractor Bifurcation and Dangerous](https://invisiblenetwork.ai/learn/nptel/108105054/07155815e4b6) (Video)
37. [Dynamics of Discontinuous Maps](https://invisiblenetwork.ai/learn/nptel/108105054/e5e764161664) (Video)
38. [Introduction to Floquet Theory](https://invisiblenetwork.ai/learn/nptel/108105054/cdfad6286230) (Video)
39. [The Monodromy Matrix and the Saltation Matrix](https://invisiblenetwork.ai/learn/nptel/108105054/62116906e14a) (Video)
40. [Control of Chaos](https://invisiblenetwork.ai/learn/nptel/108105054/23c77c41c7a7) (Video)