Three closed characteristics on non-degenerate star-shaped hypersurfaces in R6

IF 2.4 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-07-15 DOI:10.1016/j.jde.2025.113605

Huagui Duan , Hui Liu , Yiming Long , Zihao Qi , Wei Wang

引用次数: 0

Abstract

In this paper, we prove that for every non-degenerate

C^{3}

compact star-shaped hypersurface Σ in

R^{6}

which carries no prime closed characteristic of Maslov-type index 0 or no prime closed characteristic of Maslov-type index −1, there exist at least three prime closed characteristics on Σ.

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R6中非简并星形超曲面上的三个闭合特征

本文证明了对于R6中每一个不带maslov型指标0的素数闭特征或不带maslov型指标−1的素数闭特征的非简并C3紧星形超曲面Σ，在Σ上至少存在三个素数闭特征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics