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Completely degenerate lower-dimensional invariant tori for Hamiltonian system |
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| Authors: | Shengqing Hu Bin Liu |
| Affiliation: | 1. Department of Mathematics, Nanjing University, Nanjing 210093, PR China;2. School of Mathematical Sciences, Peking University, Beijing 100871, PR China |
| Abstract: | We study the persistence of lower-dimensional invariant tori for a nearly integrable completely degenerate Hamiltonian system. It is shown that the majority of unperturbed invariant tori can survive from the perturbations which are only assumed the smallness and smoothness. |
| Keywords: | Lower-dimensional tori Completely degenerate Hamiltonian systems KAM iteration |
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