Recognize and exploit the Hamiltonian structure.
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.
Anwendungen in Mechanik und Op.Research
Elaboration of an example
Anmeldung in TISS
Ordinary differential equations, Mechanics (Hamiltonian and Lagrangian equations), Optimal control.