We prove existence and multiplicity results for periodic solutions of Hamiltonian systems, by the use of a higher dimensional version of the Poincaré–Birkhoff fixed point theorem. The first part of the paper deals with periodic perturbations of a completely integrable system, while in the second part we focus on some suitable global conditions, so to deal with weakly coupled systems.
Titolo: | Periodic perturbations of Hamiltonian systems |
Autori: | |
Data di pubblicazione: | 2016 |
Rivista: | |
Abstract: | We prove existence and multiplicity results for periodic solutions of Hamiltonian systems, by the use of a higher dimensional version of the Poincaré–Birkhoff fixed point theorem. The first part of the paper deals with periodic perturbations of a completely integrable system, while in the second part we focus on some suitable global conditions, so to deal with weakly coupled systems. |
Handle: | http://hdl.handle.net/11368/2886387 |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1515/anona-2015-0122 |
URL: | http://www.degruyter.com/view/j/anona?rskey=nXQd01&result=2 |
Appare nelle tipologie: | 1.1 Articolo in Rivista |
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