Ter­min

Se­mi­nar "Pois­son geo­me­try and in­te­g­ra­ble sys­tems": Chris­ti­an Of­fen: Sol­ving com­ple­te­ly in­te­g­ra­ble sys­tems by qua­dra­ture (II)

Ort: E 2.304

The Liouville-Arnold theorem describes the topological structure of completely integrable Hamiltonian systems and provides the existence of action-angle coordinates, in which the Hamiltonian motion is affine-linear. I will show examples of completely integrable systems and classical approaches to solve these explicitly via the construction of action-angle coordinates and quadrature.