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Videos for TATA71 (ODEs and Dynamical Systems)
These videos were recorded by Hans Lundmark during the fall semester 2020, when the course was given online because of COVID-19 restrictions.
- 1. Basics of first order ODEs. (32:21)
- 2. Phase portraits for two-dimensional systems. (31:43)
- 3. Two-dimensional linear systems. (38:42)
- 4. More about linear systems. (40:27 + 26:40)
- 5. Nonlinear systems, linearization at an equilibrium point. (38:31)
- 6. Stability theorems. (1:04:27)
- 7. Limit sets. (1:12:14)
- 8. Some applications. (1:04:19)
- 9. More about existence and uniqueness. (42:15)
- 10. Linear ODEs with non-constant coefficients. (32:01)
- 11. Outlook: Poincaré maps, attractors, chaotic systems. [OPTIONAL] (1:12:14)
Sidansvarig: Hans Lundmark
Senast uppdaterad: 2024-11-11