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.
An avoiding cones condition for the Poincaré–Birkhoff Theorem / Fonda, Alessandro; Gidoni, Paolo. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 262:2(2017), pp. 1064-1084. [10.1016/j.jde.2016.10.002]
An avoiding cones condition for the Poincaré–Birkhoff Theorem
FONDA, ALESSANDRO;GIDONI, PAOLO
2017-01-01
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.File in questo prodotto:
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