Abstract |
We discuss a KAM theorem for elliptic lower dimensional tori of Hamiltonian
systems via parameterizations. The method is based in solving iteratively
the functional equations that stand for invariance and reducibility. In
contrast with classical methods, we do not assume that the system is close
to integrable nor that it is written in action-angle variables. We want to
highlight that the approach presents many advantages compared with methods
which are built in terms of canonical transformations, e.g., it produces
simpler and more constructive proofs that lead to more efficient numerical
algorithms for the computations of these objects. This is a joint work with
Jordi Villanueva.
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