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
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