%0 Journal Article %J Journal of Differential Equations %D 2017 %T An avoiding cones condition for the Poincaré–Birkhoff Theorem %A Alessandro Fonda %A Paolo Gidoni %K Avoiding cones condition %K Hamiltonian systems %K Periodic solutions %K Poincaré–Birkhoff theorem %X

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.

%B Journal of Differential Equations %V 262 %P 1064 - 1084 %G eng %U http://www.sciencedirect.com/science/article/pii/S0022039616303278 %R https://doi.org/10.1016/j.jde.2016.10.002 %0 Thesis %D 1994 %T Analysis of Singularity Structures for Quasi-Integrable Hamiltonian Systems %A Simonetta Abenda %K Hamiltonian systems %I SISSA %G en %U http://hdl.handle.net/1963/5685 %1 5534 %2 Mathematics %3 Mathematical Physics %4 -1 %$ Submitted by Maria Pia Calandra (calapia@sissa.it) on 2012-04-12T08:01:54Z\\nNo. of bitstreams: 1\\nPhD_Abenda_Simonetta.pdf: 8414314 bytes, checksum: b540a9a3c486080792ac8700cb9c1d79 (MD5)