FMA140: Olinjära dynamiska system -- Nonlinear dynamical systems



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Tidtabell -- Time-table

Lectures are noted as "Förel" while Excercise sessions read "Övn".

Lecture topics

1.3-sep Chapter 1: Introduction. Examples
2. 10-sep Chapter 2: Ordinary differential equations, basic theory.
12-sepExercise session.
3. 17-sep Chapter 3: Ordinary differential equations, advanced theory.
4. 24-sep Chapter 3: Topological methods, Poincaré-Bendixson theory.
26-sepExercise session.
5. 1-oct Chapter 4: Discrete dynamical systems, 1-d maps.
6. 8-oct Chapter 4: More on 1-d maps/Intro to Chapter 5.
10-octExercise session.
7. 19-oct Chapter 5: Lyapunov stability theory.
8. 29-oct Chapter 5: Linear stability and structural stability. Introduction to "center manifold".
31-octExercise session.
9. 5-nov Chapter 6: Central manifold theory, introduction to bifurcations.
10. 12-nov Chapter 6: Local bifurcations of vector fields.
14-novExercise session.
11. 19-nov Chapter 6: Local bifurcations of maps.
12. 26-nov Chapter 7: Chaotic systems, part I.
28-novExercise session
13. 3-dec Chapter 7: Chaotic systems, part II.
14. 10-dec Chaotic systems, part III. Summary.
12-decFilm: Chaos. Questions about the examination.