250099 VO Dynamical Systems in Mechanics (2013S)
Labels
No class on March 20.
Details
Sprache: Englisch
Prüfungstermine
Lehrende
Termine (iCal) - nächster Termin ist mit N markiert
- Mittwoch 06.03. 16:00 - 18:00 Seminarraum
- Mittwoch 13.03. 16:00 - 18:00 Seminarraum
- Mittwoch 20.03. 16:00 - 18:00 Seminarraum
- Mittwoch 10.04. 16:00 - 18:00 Seminarraum
- Mittwoch 17.04. 16:00 - 18:00 Seminarraum
- Mittwoch 24.04. 16:00 - 18:00 Seminarraum
- Mittwoch 08.05. 16:00 - 18:00 Seminarraum
- Mittwoch 15.05. 16:00 - 18:00 Seminarraum
- Mittwoch 22.05. 16:00 - 18:00 Seminarraum
- Mittwoch 29.05. 16:00 - 18:00 Seminarraum
- Mittwoch 05.06. 16:00 - 18:00 Seminarraum
- Mittwoch 12.06. 16:00 - 18:00 Seminarraum
- Mittwoch 19.06. 16:00 - 18:00 Seminarraum
- Mittwoch 26.06. 16:00 - 18:00 Seminarraum
Information
Ziele, Inhalte und Methode der Lehrveranstaltung
Art der Leistungskontrolle und erlaubte Hilfsmittel
Oral exam.
Mindestanforderungen und Beurteilungsmaßstab
The aim of this course is to acquire basic methods in which (energy preserving) are commonly described in modern mathematics.
Prüfungsstoff
By lectures, based on main course book.
Literatur
Arnolʹd, V. I. Mathematical methods of classical mechanics. Springer Verlag 1975 and 1989.
Zuordnung im Vorlesungsverzeichnis
MANV, MSTV
Letzte Änderung: 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.