We provide a simple proof for a higher-dimensional version of the Poincaré–Birkhoff theorem, which applies to Poincaré time maps of Hamiltonian systems. These maps are required neither to be close to the identity nor to have a monotone twist.

A higher-dimensional Poincaré-Birkhoff theorem without monotone twist

FONDA, ALESSANDRO;
2016

Abstract

We provide a simple proof for a higher-dimensional version of the Poincaré–Birkhoff theorem, which applies to Poincaré time maps of Hamiltonian systems. These maps are required neither to be close to the identity nor to have a monotone twist.
http://www.sciencedirect.com/science/article/pii/S1631073X16000352
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/2881872
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