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: 
FONDA, ALESSANDRO
GARRIONE, Maurizio
GIDONI, PAOLO
Data di pubblicazione: 2016
Rivista: 
ADVANCES IN NONLINEAR ANALYSIS  
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): 10.1515/anona-2015-0122
URL: http://www.degruyter.com/view/j/anona?rskey=nXQd01&result=2
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