# Topics in Nonlinear Dynamics

- Institution: IIT Madras
- Department: Physics
- Teacher: Prof. V. Balakrishnan
- Level: Undergraduate
- Language: English
- Subjects: Physics
- Source: [NPTEL](https://nptel.ac.in/courses/115106059)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/115106059)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Overview](https://invisiblenetwork.ai/learn/nptel/115106059/da84613d16a1) (Video)
2. [Critical points of a dynamical system](https://invisiblenetwork.ai/learn/nptel/115106059/a143fe69904f) (Video)
3. [Two-dimensional flows](https://invisiblenetwork.ai/learn/nptel/115106059/dff53e350720) (Video)
4. [Stable and unstable manifolds](https://invisiblenetwork.ai/learn/nptel/115106059/a177dfa5a949) (Video)
5. [Hamiltonian dynamics (Part I)](https://invisiblenetwork.ai/learn/nptel/115106059/022730317fbe) (Video)
6. [Hamiltonian dynamics (Part II)](https://invisiblenetwork.ai/learn/nptel/115106059/390c982bfbfe) (Video)
7. [Hamiltonian dynamics (Part III)](https://invisiblenetwork.ai/learn/nptel/115106059/5fe90406febb) (Video)
8. [Hamiltonian dynamics (Part IV)](https://invisiblenetwork.ai/learn/nptel/115106059/37ab6457537a) (Video)
9. [Hamiltonian dynamics (Part V)](https://invisiblenetwork.ai/learn/nptel/115106059/5dec53673678) (Video)
10. [Elementary bifurcations](https://invisiblenetwork.ai/learn/nptel/115106059/97a100cc96ec) (Video)
11. [Limit cycles](https://invisiblenetwork.ai/learn/nptel/115106059/bd39f8585c84) (Video)
12. [Poincar´e index](https://invisiblenetwork.ai/learn/nptel/115106059/18d2c162d725) (Video)
13. [Illustrative examples](https://invisiblenetwork.ai/learn/nptel/115106059/540c1988ac21) (Video)
14. [Quiz 1. Questions and answers](https://invisiblenetwork.ai/learn/nptel/115106059/cebdeb51ccab) (Video)
15. [Bead on a rotating hoop](https://invisiblenetwork.ai/learn/nptel/115106059/a3c56ec95569) (Video)
16. [Types of dynamical behaviour](https://invisiblenetwork.ai/learn/nptel/115106059/b5df82a70591) (Video)
17. [Discrete time dynamics (Part I)](https://invisiblenetwork.ai/learn/nptel/115106059/450d725bf21a) (Video)
18. [Discrete time dynamics(Part II)](https://invisiblenetwork.ai/learn/nptel/115106059/f46e3a1a5067) (Video)
19. [Discrete time dynamics (Part III)](https://invisiblenetwork.ai/learn/nptel/115106059/258189ea468a) (Video)
20. [Discrete time dynamics (Part IV)](https://invisiblenetwork.ai/learn/nptel/115106059/fd1f695f84d0) (Video)
21. [Coarse-grained dynamics in phase space (Part I)](https://invisiblenetwork.ai/learn/nptel/115106059/d883d54c93c2) (Video)
22. [Coarse-grained dynamics in phase space (Part II) & Stochastic dynamics (Part I)](https://invisiblenetwork.ai/learn/nptel/115106059/d0ae8c6455b1) (Video)
23. [Stochastic dynamics (Part II)](https://invisiblenetwork.ai/learn/nptel/115106059/4953d58339a5) (Video)
24. [Stochastic dynamics (Part III)](https://invisiblenetwork.ai/learn/nptel/115106059/ba7001b8579c) (Video)
25. [Coarse-grained dynamics in phase space (Part IV) & Stochastic dynamics (Part IV)](https://invisiblenetwork.ai/learn/nptel/115106059/33f8f8c2b79a) (Video)
26. [Discrete time dynamics (Part V)](https://invisiblenetwork.ai/learn/nptel/115106059/9b77fe505370) (Video)
27. [Quiz 2. Questions and answers](https://invisiblenetwork.ai/learn/nptel/115106059/ad4ef951cee6) (Video)
28. [Stochastic dynamics (Part V)](https://invisiblenetwork.ai/learn/nptel/115106059/36779c2e9e29) (Video)
29. [Stochastic dynamics (Part VI)](https://invisiblenetwork.ai/learn/nptel/115106059/80fe363f4b8e) (Video)