Abstract
In this paper we are concerned with the existence of invariant curves of quasi-periodic reversible mappings with higher order degeneracy of the twist condition under the Brjuno–Rüssmann's non-resonant condition. In the proof we use a new variant of the KAM theory, containing an artificial parameter $q$, $0 \lt q \lt 1$, which makes the steps of the KAM iteration infinitely small in the speed of function $q^n \varepsilon$, rather than super exponential function.
Funding Statement
This pape was partially supported by the National Natural Science Foundation of China (11901131), Guizhou Provincial Science and Technology Foundation ([2020]1Y006).
Citation
Peng Huang. "Existence of Invariant Curves for Degenerate Quasi-periodic Reversible Mappings." Taiwanese J. Math. 26 (4) 765 - 798, August, 2022. https://doi.org/10.11650/tjm/220201
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