Article ID Journal Published Year Pages File Type
5773497 Annales de l'Institut Henri Poincare (C) Non Linear Analysis 2017 20 Pages PDF
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.
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Physical Sciences and Engineering Mathematics Analysis
Preview
A higher dimensional Poincaré-Birkhoff theorem for Hamiltonian flows
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