# Nonlinear Dynamics and Chaos

- Institution: IIT Madras
- Department: Multidisciplinary
- Teacher: Prof. Mahesh Panchagnula
- Level: Graduate
- Language: English
- Source: [NPTEL](https://nptel.ac.in/courses/127106013)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/127106013)
- Who can watch: Teens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

This is intended to be an introductory course on nonlinear dynamics to enable students to understand, appreciate and analyze the behavior of nonlinear dynamical and chaotic systems in science and engineering. The course will discuss the exciting world of nonlinear differential equations and their relationship to the physical world. A basic introduction to the onset of chaos will also be presented.Modern numerical and analytical techniques used for analysis will be introduced.

Intended audience: Applied Mechanics, Mechanical Engineering, Chemical Engineering, Civil Engineering, Aerospace Engineering, Atmospheric and Ocean Engineering, Physics

Prerequisites: An introductory course in Ordinary Differential Equations

## Lectures

1. [Introduction: Part 1](https://invisiblenetwork.ai/learn/nptel/127106013/6eb1e20512a0) (YouTube)
2. [Introduction: Part 2](https://invisiblenetwork.ai/learn/nptel/127106013/8837546d809a) (YouTube)
3. [Introduction: Part 3](https://invisiblenetwork.ai/learn/nptel/127106013/9be12caf6f0e) (YouTube)
4. [Flows on the Line: Part 1](https://invisiblenetwork.ai/learn/nptel/127106013/5523374dac70) (YouTube)
5. [Flows on the Line: Part 2](https://invisiblenetwork.ai/learn/nptel/127106013/05a9c721bd6e) (YouTube)
6. [Bifurcations: Part 1](https://invisiblenetwork.ai/learn/nptel/127106013/7549eec2d594) (YouTube)
7. [Bifurcations: Part 2](https://invisiblenetwork.ai/learn/nptel/127106013/500f726fd9b5) (YouTube)
8. [Bifurcations: Part 3](https://invisiblenetwork.ai/learn/nptel/127106013/cb9f8af063d9) (YouTube)
9. [Flows On The Circle: Part 1](https://invisiblenetwork.ai/learn/nptel/127106013/bd5edafb84ac) (YouTube)
10. [Flows On The Circle: Part 2](https://invisiblenetwork.ai/learn/nptel/127106013/29bc6079c762) (YouTube)
11. [2D Flows - Linear Systems: Part 1](https://invisiblenetwork.ai/learn/nptel/127106013/d81ae875aa4f) (YouTube)
12. [2D Flows - Linear Systems: Part 2](https://invisiblenetwork.ai/learn/nptel/127106013/647997c2a2ec) (YouTube)
13. [2D Flows - Linear Systems: Part 3](https://invisiblenetwork.ai/learn/nptel/127106013/65a25d09ffad) (YouTube)
14. [Phase Plane: Part 1](https://invisiblenetwork.ai/learn/nptel/127106013/4ad9fd303139) (YouTube)
15. [Phase Plane: Part 2](https://invisiblenetwork.ai/learn/nptel/127106013/bdbe61e95171) (YouTube)
16. [Limit Cycles: Part 1](https://invisiblenetwork.ai/learn/nptel/127106013/4dab87233627) (YouTube)
17. [Limit Cycles: Part 2](https://invisiblenetwork.ai/learn/nptel/127106013/17c50f5ac02b) (YouTube)
18. [Limit Cycles: Part 3](https://invisiblenetwork.ai/learn/nptel/127106013/3236fd29543b) (YouTube)
19. [Van Der Pol Oscillator](https://invisiblenetwork.ai/learn/nptel/127106013/e7f45b0c55a4) (YouTube)
20. [Bifurcations Revisited: Part 1](https://invisiblenetwork.ai/learn/nptel/127106013/6d9c48d31061) (YouTube)
21. [Bifurcations Revisited: Part 2](https://invisiblenetwork.ai/learn/nptel/127106013/52ff49120eb6) (YouTube)
22. [Bifurcations Revisited: Part 3](https://invisiblenetwork.ai/learn/nptel/127106013/ca4276a2767e) (YouTube)
23. [Bifurcations Revisited: Part 4](https://invisiblenetwork.ai/learn/nptel/127106013/9ca8c4297f11) (YouTube)
24. [Introduction To Chaos: Part 1](https://invisiblenetwork.ai/learn/nptel/127106013/ca3b78580f00) (YouTube)
25. [Introduction To Chaos: Part 2](https://invisiblenetwork.ai/learn/nptel/127106013/5d0f05942e96) (YouTube)
26. [Introduction To Chaos: Part 3](https://invisiblenetwork.ai/learn/nptel/127106013/fcfe215e07a8) (YouTube)
27. [Introduction To Chaos: Part 4](https://invisiblenetwork.ai/learn/nptel/127106013/e597bae886e2) (YouTube)
28. [One-Dimensional Maps: Part 1](https://invisiblenetwork.ai/learn/nptel/127106013/7e1524edb060) (YouTube)
29. [One-Dimensional Maps: Part 2](https://invisiblenetwork.ai/learn/nptel/127106013/b256723e77f3) (YouTube)
30. [One-Dimensional Maps: Part 3](https://invisiblenetwork.ai/learn/nptel/127106013/3151ffc9301e) (YouTube)
31. [One-Dimensional Maps: Part 4](https://invisiblenetwork.ai/learn/nptel/127106013/6454632d7715) (YouTube)
32. [Fractals: Part 1](https://invisiblenetwork.ai/learn/nptel/127106013/3ea6025176d5) (YouTube)
33. [Fractals: Part 2](https://invisiblenetwork.ai/learn/nptel/127106013/306aa843ae6f) (YouTube)
34. [Fractals: Part 3](https://invisiblenetwork.ai/learn/nptel/127106013/69fd35be51b4) (YouTube)
35. [Strange Attractors: Part 1](https://invisiblenetwork.ai/learn/nptel/127106013/c23cd746db4b) (YouTube)
36. [Strange Attractors: Part 2](https://invisiblenetwork.ai/learn/nptel/127106013/73bb7bba0aab) (YouTube)
37. [Manifold Theory: Part 1](https://invisiblenetwork.ai/learn/nptel/127106013/ff1b2f936244) (YouTube)
38. [Manifold Theory: Part 2](https://invisiblenetwork.ai/learn/nptel/127106013/f55288bf8ac1) (YouTube)
39. [Differential Algebraic Equations: Part 1](https://invisiblenetwork.ai/learn/nptel/127106013/e04aa12960a2) (YouTube)
40. [Differential Algebraic Equations: Part 2](https://invisiblenetwork.ai/learn/nptel/127106013/d1b34e3e3b55) (YouTube)
41. [Noise Induced Transitions](https://invisiblenetwork.ai/learn/nptel/127106013/a4f495f32ca3) (YouTube)
42. [Neural Networks: Part 1](https://invisiblenetwork.ai/learn/nptel/127106013/359c61054039) (YouTube)
43. [Neural Networks: Part 2](https://invisiblenetwork.ai/learn/nptel/127106013/5beca768eb09) (YouTube)
44. [Neural Networks: Part 3](https://invisiblenetwork.ai/learn/nptel/127106013/9512ea48363c) (YouTube)
45. [Mathieu Equation and Parametric Oscillations: Part 1](https://invisiblenetwork.ai/learn/nptel/127106013/9be6bd91dcf0) (YouTube)
46. [Mathieu Equation and Parametric Oscillations: Part 2](https://invisiblenetwork.ai/learn/nptel/127106013/f21085f431c3) (YouTube)
47. [Course Revision](https://invisiblenetwork.ai/learn/nptel/127106013/9681fb28d9f1) (YouTube)