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Universität Augsburg
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Universität Augsburg
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Professor Pedro Salomao
Universität Sao Paulo und Universität Bochum
spricht am
Montag, 9. Juli 2018
um
10:00 Uhr
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
| I will talk about two-degree-of-freedom Hamiltonian dynamics near a critical level containing a saddle-center rest point. Under some suitable global assumptions on the critical level, we show that for energies slightly above the critical value, the energy level admits a system of transversal sections, called a 3-2-3 foliation. The binding orbits of this foliation is formed by three periodic orbits, one of them is the Lyapunoff orbit lying in the center manifold of the saddle-center. All regular leaves are transverse to the flow and consist of cylinders and planes. The 3-2-3 foliation implies, in the real-analytic case, infinitely many periodic orbits and homoclinics to the Lyapunoff orbit. I will also present some concrete Hamiltonians for which 3-2-3 foliations exist, including the Euler problem of two fixed centers in the plane. These are joint works with Naiara de Paulo and U. Hryniewicz. |
| Hierzu ergeht herzliche Einladung. |
| Urs Frauenfelder |