We provide a geometric assumption which unifies and generalizes the conditions proposed in [11,12], so to obtain a higher dimensional version of the Poincaré–Birkhoff fixed point Theorem for Poincaré maps of Hamiltonian systems.

An avoiding cones condition for the Poincaré–Birkhoff Theorem

Gidoni Paolo
2017-01-01

Abstract

We provide a geometric assumption which unifies and generalizes the conditions proposed in [11,12], so to obtain a higher dimensional version of the Poincaré–Birkhoff fixed point Theorem for Poincaré maps of Hamiltonian systems.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11390/1262886
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