2 papers
math.CA2024
A Poincaré-Birkhoff theorem for multivalued successor maps with applications to periodic superlinear Hamiltonian systems
Guglielmo Feltrin, Alessandro Fonda, Andrea Sfecci
We provide a new version of the Poincaré-Birkhoff theorem for possibly multivalued successor maps associated with planar non-autonomous Hamiltonian systems. As an application, we p…
math.SG2018
A Poincaré-Birkhoff theorem for Hamiltonian flows on nonconvex domains
Alessandro Fonda, Antonio J. Ureña
We present a higher-dimensional version of the Poincaré-Birkhoff theorem which applies to Poincaré time maps of Hamiltonian systems. The maps under consideration are neither requir…