期刊
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
卷 -, 期 -, 页码 -出版社
AMER MATHEMATICAL SOC
DOI: 10.1090/proc/15657
关键词
Non-twist mappings; self-intersection; invariant closed curve; KAM iteration
In this paper, we investigate a family of nearly integrable mappings on an annulus, which have self-intersection property and depend on a small parameter. Despite the absence of a twist condition, we demonstrate that for many sufficiently small parameters, these mappings possess an invariant closed curve. Our findings have implications for the Lagrange stability of Duffing equations.
In this paper, we consider a family of nearly integrable mappings on annulus, which has self-intersection property and depends on a small parameter. Without any twist condition, we prove that for many sufficiently small parameters the mappings admit an invariant closed curve. Our result is useful for Lagrange stability of Duffing equations.
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