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.
A higher dimensional Poincaré–Birkhoff theorem for Hamiltonian flows / Fonda, Alessandro; Ureña, Antonio J.. - In: ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE. - ISSN 0294-1449. - STAMPA. - 34:3(2017), pp. 679-698. [10.1016/j.anihpc.2016.04.002]
A higher dimensional Poincaré–Birkhoff theorem for Hamiltonian flows
FONDA, ALESSANDRO;
2017-01-01
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.File in questo prodotto:
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