Technische Universität Ilmenau

Global Theory of Dynamical Systems - Modultafeln of TU Ilmenau

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module properties Global Theory of Dynamical Systems in degree program Master Mathematik und Wirtschaftsmathematik 2013 (WM)
module number5827
examination number2400191
departmentDepartment of Mathematics and Natural Sciences
ID of group 2416 (Analysis and Dynamical Systems)
module leader Dr. Jürgen Knobloch
term winter term only
languageDeutsch
credit points4
on-campus program (h)34
self-study (h)86
obligationelective module
examoral examination performance, 30 minutes
details of the certificate
alternative examination performance due to COVID-19 regulations incl. technical requirements
signup details for alternative examinations
maximum number of participants
previous knowledge and experience

Grundlagen der Analysis, Analysis dynamischer Systeme

learning outcomeDie Studierende kennen die wesentlichen Mechanismen globaler Dynamik und können damit konkrete Systeme analysieren
contentIn 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 participationTafel, Folien
literature / referencesRobinson, 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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