Periodic perturbations of Hamiltonian systems

Alessandro Fonda, Maurizio Garrione, Paolo Gidoni
2016 Advances in Nonlinear Analysis  
AbstractWe 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.
doi:10.1515/anona-2015-0122 fatcat:bxss3egxtnao3dujovcqwhi7f4