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.
- 2. Phase portraits for two-dimensional systems.
- 3. Two-dimensional linear systems.
- 4. More about linear systems.
- 5. Nonlinear systems, linearization at an equilibrium point.
- 6. Stability theorems.
- 7. Limit sets.
- 8. Some applications.
- 9. More about existence and uniqueness.
- 10. Linear ODEs with non-constant coefficients.
- 11. Outlook: Poincaré maps, attractors, chaotic systems. [OPTIONAL]
Sidansvarig: Hans Lundmark
Senast uppdaterad: 2024-04-15