We propose an extension to higher dimensions of the Poincaré–Birkhoff Theorem which applies to Poincaré time-maps of Hamiltonian systems. Examples of applications to pendulum-type systems and weakly-coupled superlinear systems are also given.

A higher dimensional Poincaré–Birkhoff theorem for Hamiltonian flows

FONDA, ALESSANDRO;
2017-01-01

Abstract

We propose an extension to higher dimensions of the Poincaré–Birkhoff Theorem which applies to Poincaré time-maps of Hamiltonian systems. Examples of applications to pendulum-type systems and weakly-coupled superlinear systems are also given.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/2901315
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