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Singular reduction of resonant Hamiltonians
(IOP PublishingLondon Mathematical Society, 2018) Artículo / Artikulua,
We investigate the dynamics of resonant Hamiltonians with n degrees of freedom to which we attach a small perturbation. Our study is based on the geometric interpretation of singular reduction theory. The flow of the ...
Normalization through invariants in n-dimensional Kepler problems
(Pleiades Publishing, 2018) Artículo / Artikulua,
We present a procedure for the normalization of perturbed Keplerian problems in n dimensions based on Moser regularization of the Kepler problem and the invariants associated to the reduction process. The approach allows ...