||Nonlinear Dynamics at the Free University Berlin|
Prof. Dr. A. Azouani
Seminar on differential equations: invariant manifolds and local bifurcations
Schedule, Winter 2012/13
The seminar allows the students to deepen their knowledge of ordinary differential equations in the direction of dynamical systems. It deals with local qualitative behavior of solutions from the geometrical point of view. In particular, the talks given by students will cover the following fundamental topics: stable and unstable manifolds, center manifolds, and local bifurcations. A profound understanding of these notions not only allows one to master the modern language of ordinary differential equations, but also significantly simplifies the comprehension of dynamical properties of partial differential equations (to be taught in the courses Differential Equations II and III).
|Last change: Oct. 19, 2012||