A higher dimensional Poincaré–Birkhoff theorem for Hamiltonian flows
Alessandro Fonda
Dipartimento di Matematica e Geoscienze, Università di Trieste, P. le Europa 1, I-34127 Trieste, ItalyAntonio J. Ureña
Departamento de Matemática Aplicada, Universidad de Granada, Facultad de Ciencias, 18071 Granada, Spain
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Abstract
We propose an extension to higher dimensions of the Poincaré–Birkhoff Theorem which applies to Poincaré time-maps of Hamiltonian systems. Examples of applications to pendulum-type systems and weakly-coupled superlinear systems are also given.
Cite this article
Alessandro Fonda, Antonio J. Ureña, A higher dimensional Poincaré–Birkhoff theorem for Hamiltonian flows. Ann. Inst. H. Poincaré Anal. Non Linéaire 34 (2017), no. 3, pp. 679–698
DOI 10.1016/J.ANIHPC.2016.04.002