Technische Universit├Ąt Ilmenau

Analysis of Dynamical Systems - Modultafeln of TU Ilmenau

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subject properties Analysis of Dynamical Systems in major Master Technische Kybernetik und Systemtheorie 2014
subject number5784
examination number2400621
departmentDepartment of Mathematics and Natural Sciences
ID of group 2416 (Analysis and Dynamical Systems Group)
subject leader Dr. J├╝rgen Knobloch
term Wintersemester
languageDeutsch
credit points5
on-campus program (h)34
self-study (h)116
Obligationobligatory elective
examoral examination performance, 30 minutes
details of the certificate
Signup details for alternative examinations
maximum number of participants
previous knowledge and experience

Analysis I-II, Gewöhnliche Differentialgleichungen

learning outcome

Die Studierenden können lokale Dynamik von diskreten und kontinuierlichen Systemen analysieren.

content

Studiert werden diskrete und kontinuierliche dynamische Systeme in Umgebungen von Gleichgewichtslagen und periodischen Orbits. Schwerpunkte sind: invariante Mannigfaltigkeiten, Normalformen, strukturelle Stabilität, elementare Bifurkationen, Poincare-Abbildungen.

media of instruction

Folien, Tafel

literature / references

Amann, H., Gewöhnliche Differentialgleichungen, De-Gruyter-Lehrbuch, 1995;Robinson, C., Dynamical systems, CRC Press, 1999

evaluation of teaching