||Nonlinear Dynamics at the Free University Berlin|
Prof. Dr. A. Azouani
Seminar: Chaotic Dynamics
Schedule, Summer 2016
We will deal with chaotic phenomena in the theory of dynamical systems. The phenomenon of chaos was observed by Poincaré back in 19th century, but the rigorous mathematical theory has not been created until the second half of the 20th century and is still an actively developing field. In the seminar, we will understand what “chaos” means and how it may occur. We will concentrate on one- and two-dimensional diffeomorphism, but the ideas extend to much more general systems.
The language of the seminar is supposed to be English (with the help of German if needed).
We expect that the participating students have attended Analysis 1 and 2. Preliminary knowledge of the dynamical systems theory is desirable but not necessary. As a prerequisite for everybody, we strongly recommend to read Sections 1.1-1.4 (with exercises) in [Devaney, 1986].
|Last change: Apr. 28, 2016||