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250099 VO Dynamical Systems in Mechanics (2013S)
Labels
No class on March 20.
Details
Language: English
Examination dates
Lecturers
Classes (iCal) - next class is marked with N
- Wednesday 06.03. 16:00 - 18:00 Seminarraum
- Wednesday 13.03. 16:00 - 18:00 Seminarraum
- Wednesday 20.03. 16:00 - 18:00 Seminarraum
- Wednesday 10.04. 16:00 - 18:00 Seminarraum
- Wednesday 17.04. 16:00 - 18:00 Seminarraum
- Wednesday 24.04. 16:00 - 18:00 Seminarraum
- Wednesday 08.05. 16:00 - 18:00 Seminarraum
- Wednesday 15.05. 16:00 - 18:00 Seminarraum
- Wednesday 22.05. 16:00 - 18:00 Seminarraum
- Wednesday 29.05. 16:00 - 18:00 Seminarraum
- Wednesday 05.06. 16:00 - 18:00 Seminarraum
- Wednesday 12.06. 16:00 - 18:00 Seminarraum
- Wednesday 19.06. 16:00 - 18:00 Seminarraum
- Wednesday 26.06. 16:00 - 18:00 Seminarraum
Information
Aims, contents and method of the course
Assessment and permitted materials
Oral exam
Minimum requirements and assessment criteria
The aim of this course is to acquire basic methods in which (energy preserving) are commonly described in modern mathematics.
Examination topics
By lectures, based on main course book.
Reading list
Arnolʹd, V. I. Mathematical methods of classical mechanics. Springer Verlag 1975 and 1989.
Association in the course directory
MANV, MSTV
Last modified: Mo 07.09.2020 15:40
Earth revolving around the Sun) is in terms of ordinary differential equations, which may
be too complicated to solve explicitly, but there are various other techniques and methods,
which are at the heart of a field called Dynamical Systems. However, differential geometry
and ergodic theory play a role in this area too.Topics to be covered include
- Basic example from Newtownian mechanics.
- Periodic motion quasi-periodic motion and resonance.
- Preserved quantities (first integrals of motion).
- Hamiltonian formalism.
- Symmetries and Noether's Theorem.