| Title | An avoiding cones condition for the Poincaré–Birkhoff Theorem |
| Publication Type | Journal Article |
| Year of Publication | 2017 |
| Authors | Fonda, A, Gidoni, P |
| Journal | Journal of Differential Equations |
| Volume | 262 |
| Pagination | 1064 - 1084 |
| ISSN | 0022-0396 |
| Keywords | Avoiding cones condition; Hamiltonian systems; Periodic solutions; Poincaré–Birkhoff theorem |
| 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. |
| URL | http://www.sciencedirect.com/science/article/pii/S0022039616303278 |
| DOI | 10.1016/j.jde.2016.10.002 |
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