Summer 2008
BMS-Course Dynamical Systems III
Prof.
Dr. Bernold Fiedler
Recitation session:
Dr.
Stefan Liebscher
Schedule, Summer 2008
- Lecture:
- Tuesday, 10.15-14.00, Seminar room 140, Arnimallee 7
- Recitation session:
- Monday, 12.15-14.00, Seminar room 140, Arnimallee 7
Topics
The course combines current concepts from Dynamical Systems and (mostly parabolic) Partial Differential Equations. Selection of Topics:
- Analytic Semigroups (survey)
- Invariant Manifolds
- Bifurcations
- Inertial Manifolds
- Global Attractors
- Spatio-Temporal Patterns
Web pages of parts I & II.
References
- J. Hale: Functional differential equations, Applied Mathematical Sciences. Vol. 3, Springer, 1971
- D. Henry: Geometric Theory of Semilinear Parabolic Equations, Springer, LNM 840, 1981
- G. Sell, Y. You: Dynamics of evolutionary equations, Applied Mathematical Sciences 143, Springer, 2002
- R. Temam: Infinite-Dimensional Systems in Mechanics and Physics, Springer, 1998.
- M.I. Vishik: Asymptotic behaviour of solutions of evolutionary equations, Cambridge University Press, 1992
- B. Fiedler, A. Scheel: Dynamics of Reaction-Diffusion Patterns. In: Trends in Nonlinear Analysis, Festschrift dedicated to Willi Jäger for his 60th birthday, M. Kirkilionis, R. Rannacher, F. Tomi (eds.), Springer, 2003, 23-152.
Script (corrections) on subharmonic bifurcation
Homework assignments, Summer 2008
- Abgabe: 25. April 2008 (PDF)
- Abgabe: 02. Mai 2008 (PDF)
- Abgabe: 08. Mai 2008 (PDF)
- Abgabe: 22. Mai 2008 (PDF)
- Abgabe: 29. Mai 2008 (PDF)
- Abgabe: 05. Juni 2008 (PDF)
- Abgabe: 12. Juni 2008 (PDF)
- Abgabe: 19. Juni 2008 (PDF)
- Abgabe: 26. Juni 2008 (PDF)
- Abgabe: 03. Juli 2008 (PDF)
- Abgabe: 10. Juli 2008 (PDF)
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