“A Poincaré-Birkhoff theorem for asymptotically linear Hamiltonian systems”
Giovedì 20 Febbraio 2025, ore 11:30 - Sala Riunioni 7B1 - Leonardo Masci (RWTH Aachen University)
Abstract
The celebrated Poincaré-Birkhoff theorem on area-preserving maps of the annulus is of fundamental importance in the fields of Hamiltonian dynamics and symplectic topology. In this talk I will formulate a twist condition, inspired by the Poincaré-Birkhoff theorem, which applies to the asymptotically linear Hamiltonian systems of Amann, Conley and Zehnder. When this twist condition is satisfied, together with some technical assumptions, the existence of infinitely many periodic points is obtained.
