301.023 Hamiltonian Systems
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2020S, SV, 2.0h, 3.0EC
TUWEL

Properties

  • Semester hours: 2.0
  • Credits: 3.0
  • Type: SV Special Lecture

Learning outcomes

After successful completion of the course, students are able to derive Hamiltonian equations of motion and to apply analytical methods (Normal Forms, generating functions) to simplify the equations and determine special solutions.

Subject of course

Solution methods for Hamiltonian Systems are introduced and demonstrated for selected examples. 1.) Motivation: Mechanical systems, Maximum principle in optimal control; 2.) Inntroduction: Simple modells; 3.) Linear Equations, Symplectic transformations; 4.) Hamiltonian systems with symmetry, conservation laws, Energy-momentum map. 5.) Birkhoff's Normal Form, resonances; 6.) Perturbation Theory, Averaging method; 7.) Numerical integration.

Teaching methods

Discussion and treatment of model examples.

Mode of examination

Written and oral

Additional information

Anwendungen in Mechanik und Op.Research

Lecturers

Institute

Course dates

DayTimeDateLocationDescription
Wed12:00 - 16:0004.03.2020Seminarraum BD 02C Vorlesung 1. Termin
Wed14:00 - 16:0011.03.2020Seminarraum BA 02C Vorlesung

Examination modalities

Treatment of a model example.

Course registration

Begin End Deregistration end
19.02.2020 12:00

Registration modalities

Anmeldung in TISS

Curricula

Literature

Lecture notes for this course are available. Wird ausgeteilt.

Previous knowledge

Ordinary differential equations, Mechanics (Hamiltonian and Lagrangian equations), Optimal control.

Language

German