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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 ...
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 ...