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- W2563233603 abstract "We prove the existence of periodic solutions for a planar non-autonomous Hamiltonian system which is a small perturbation of an autonomous system, in the presence of a non-isochronous period annulus. To this aim we use the Poincare-Birkhoff fixed point theorem, even if the boundaries of the annulus are neither assumed to be invariant for the Poincare map, nor to be star-shaped. As a consequence, we show how to deal with the problem of bifurcation of subharmonic solutions near a given nondegenerate periodic solution. In this framework, we only need little regularity assumptions, and we do not need to introduce any Melnikov type functions." @default.
- W2563233603 created "2017-01-06" @default.
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- W2563233603 date "2012-04-23" @default.
- W2563233603 modified "2023-09-26" @default.
- W2563233603 title "Periodic solutions of perturbed Hamiltonian systems in the plane by the use of the Poincaré-Birkhoff theorem" @default.
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