Existence of Invariant Curves for Degenerate Quasi-periodic Reversible Mappings

نویسندگان

چکیده

In this paper we are concerned with the existence of invariant curves quasi-periodic reversible mappings higher order degeneracy twist condition under Brjuno–Rüssmann's non-resonant condition. proof use a new variant KAM theory, containing an artificial parameter $q$, $0 \lt q 1$, which makes steps iteration infinitely small in speed function $q^n \varepsilon$, rather than super exponential function.

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ژورنال

عنوان ژورنال: Taiwanese Journal of Mathematics

سال: 2022

ISSN: ['1027-5487', '2224-6851']

DOI: https://doi.org/10.11650/tjm/220201