Winter term 2025/2026
Self-Organization and Pattern Formation
[LSF of lectures] [LSF of tutorials] [YouTube]
Tuesday, 10-12 (A348)
Thursdays, 12-14 (A348)
Homework sheets
- Sheet 0: Diffusion and Fourier transform, The harmonic oscillator, A model of a laser
- Sheet 1: Lyapunov functions, Population of fish, Outbreak of an insect in a forest
- Sheet 2: Bogdanov-Takens bifurcation, Bogdanov-Takens bifurcation: Unfolding the homoclinic orbit, Biochemical Oscillations
- Sheet 3: Source degradation model, Allen-Cahn equation with external field, Fisher-KPP equation
- Sheet 4: Cahn-Hilliard equation with an additional reaction term, Cahn-Hilliard equation with active reaction
- Sheet 5: The LSW theory of Ostwald ripening, The LSW theory in d spatial dimensions, Non-reciprocal Cahn-Hillard equation
- Sheet 6: Linear Stability of the Keller–Segel Model, Active Model B and Pseudopotentials
- Sheet 7: Stability of wave solutions of the complex Ginzburg-Landau equation, Phase Equations of the CGLE
- Sheet 8: Kuramoto models – global synchronization of heterogeneous oscillators, Kuramoto models – spatially coupled identical oscillators, Slow Manifold of Predator-Prey Dynamics
- Sheet 9: Conceptual Questions
Downloads
- sheet00 (408 KByte)
- sheet01 (245 KByte)
- sheet02 (394 KByte)
- sheet03 (771 KByte)
- sheet04 (225 KByte)
- sheet05 (247 KByte)
- sheet06 (210 KByte)
- sheet07 (209 KByte)
- sheet08 (174 KByte)
- sheet09 (91 KByte)