Cotangent bundle reduction and reconstruction of dynamics
Event details
| Date | 06.05.2013 |
| Hour | 17:15 › 18:00 |
| Speaker | Marina Fontaine (EPFL) |
| Location | |
| Category | Conferences - Seminars |
Hamiltonian Dynamics Seminar
Abstract: I shall present some topics from my Master's thesis. First I'll describe a reconstruction method for the dynamics of a given Hamiltonian system, possessing a group of symmetries, from that of the reduced system.
Also there is a reconstruction method for Lagrangian systems. In the case where the Lagrangian system possesses a Riemannian manifold as configuration space, we get explicit formulas for the reconstructed integral curve and the phases (geometric and dynamic). We are interested in dynamical systems whose reduced solutions are periodic. I shall also present the embedding version of the Cotangent Bundle Reduction Theorem which is the key to obtain these results.
Abstract: I shall present some topics from my Master's thesis. First I'll describe a reconstruction method for the dynamics of a given Hamiltonian system, possessing a group of symmetries, from that of the reduced system.
Also there is a reconstruction method for Lagrangian systems. In the case where the Lagrangian system possesses a Riemannian manifold as configuration space, we get explicit formulas for the reconstructed integral curve and the phases (geometric and dynamic). We are interested in dynamical systems whose reduced solutions are periodic. I shall also present the embedding version of the Cotangent Bundle Reduction Theorem which is the key to obtain these results.
Practical information
- Expert
- Free
Organizer
- Martins Bruveris and Sonja Hohloch (EPFL)