We provide a geometric assumption which unifies and generalizes the conditions proposed by Fonda and Urena in [11, 12], so to obtain a higher dimensional version of the Poincaré–Birkhoff fixed point Theorem for Poincaré maps of Hamiltonian systems.
Titolo: | An avoiding cones condition for the Poincaré–Birkhoff Theorem |
Autori: | |
Data di pubblicazione: | 2017 |
Rivista: | |
Abstract: | We provide a geometric assumption which unifies and generalizes the conditions proposed by Fonda and Urena in [11, 12], so to obtain a higher dimensional version of the Poincaré–Birkhoff fixed point Theorem for Poincaré maps of Hamiltonian systems. |
Handle: | http://hdl.handle.net/11368/2886410 |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.jde.2016.10.002 |
URL: | http://www.sciencedirect.com/science/article/pii/S0022039616303278 |
Appare nelle tipologie: | 1.1 Articolo in Rivista |
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