JournalsaihpcVol. 34, No. 3pp. 679–698

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, Italy

  • Antonio J. Ureña

    Departamento de Matemática Aplicada, Universidad de Granada, Facultad de Ciencias, 18071 Granada, Spain
A higher dimensional Poincaré–Birkhoff theorem for Hamiltonian flows cover
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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