Abstract
For sufficient smooth nearly integrable Hamiltonian systems, an open dense set of perturbations has been constructed. And for a perturbation in this set the existence for families of lower-dimensional tori of hyperbolic, elliptic and mixed types has been proved.
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Wang, S., Cheng, C. Lower-dimensional tori for generic Hamiltonian systems. Chin.Sci.Bull. 44, 1187–1191 (1999). https://doi.org/10.1007/BF02885962
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DOI: https://doi.org/10.1007/BF02885962