Global Theory of Dynamical Systems - Interactive curriculae of TU Ilmenau
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| module properties Global Theory of Dynamical Systems in degree program Master Technische Kybernetik und Systemtheorie 2014 | |
|---|---|
| module number | 5827 |
| examination number | 2400191 |
| department | Department of Mathematics and Natural Sciences |
| ID of group | 2416 (Analysis and Dynamical Systems) |
| module leader | Dr. Jürgen Knobloch |
| term | winter term only |
| language | Deutsch |
| credit points | 5 |
| on-campus program (h) | 34 |
| self-study (h) | 116 |
| obligation | elective module |
| exam | oral examination performance, 30 minutes |
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| previous knowledge and experience | Grundlagen der Analysis, Analysis dynamischer Systeme |
| learning outcome | Die Studierende kennen die wesentlichen Mechanismen globaler Dynamik und können damit konkrete Systeme analysieren |
| content | In dieser Vorlesung werden grundlegende Konzepte der Theorie dynamischer Systeme vorgestellt. Es ist das Anliegen, diese an Beispielen vorzustellen, sie zu erläutern und soweit es im Rahmen einer solchen Vorlesung möglich ist, auch zu beweisen. Schwerpunkte: Einfache Beispiele mit komplizierter Orbitstruktur, Hyperbolische Dynamik, Ergodentheorie und Dynamik, Chaotische Dynamik. |
| media of instruction and technical requirements for education and examination in case of online participation | Tafel, Folien |
| literature / references | Robinson, C., Dynamical systems, CRC Press, 1999;Brin, M., Stuck, G., Introduction to dynamical systems, Cambridge Univ. Press, 2002;Hasselblatt, B., Katok, A., A first course in dynamics, Cambridge Univ. Press, 2003. |
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