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- W4366198002 abstract "In this paper, we consider a classical Hamiltonian normal form with degeneracy in normal direction. In previous results, one needs to assume that the perturbation satisfies certain non-degenerate conditions in order to remove the degeneracy in the normal form. In stead of that, we introduce a topological degree condition and a weak convexity condition, which are easy to be verified, and we prove the persistence of lower dimensional tori without any restriction on perturbation but only smallness and analyticity." @default.
- W4366198002 created "2023-04-19" @default.
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- W4366198002 date "2023-04-14" @default.
- W4366198002 modified "2023-10-18" @default.
- W4366198002 title "An Infinite-dimensional KAM Theorem with Normal Degeneracy" @default.
- W4366198002 doi "https://doi.org/10.48550/arxiv.2304.06995" @default.
- W4366198002 hasPublicationYear "2023" @default.
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