Open AccessA Moser theorem for multiscale mappings
Author(s) -
Xuefeng Zhao,
Yong Li
Publication year - 2022
Publication title -
discrete and continuous dynamical systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.289
H-Index - 70
eISSN - 1553-5231
pISSN - 1078-0947
DOI - 10.3934/dcds.2022037
Subject(s) - torus , integrable system , invariant (physics) , twist , mathematics , pure mathematics , intersection (aeronautics) , property (philosophy) , geometry , mathematical physics , philosophy , epistemology , engineering , aerospace engineering
In this paper, we study the persistence of invariant tori in nearly integrable multiscale twist mappings with intersection property and high degeneracy in the integrable part. Such results are also presented for the mappings with distinct number of angles and actions, which affirms the existence of lower-dimensional invariant tori in such mappings. Hence we establish a Moser's theorem in multiscales.