A Moser’s non-twist theorem for nearly integrable mappings with self-intersection property
نویسندگان
چکیده
In this paper, we consider a family of nearly integrable mappings on annulus, which has self-intersection property and depends small parameter. Without any twist condition, prove that for many sufficiently parameters the admit an invariant closed curve. Our result is useful Lagrange stability Duffing equations.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2023
ISSN: ['2330-1511']
DOI: https://doi.org/10.1090/proc/15657