一类不连续系统的不变环面

IF 2.3 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-10-06 DOI:10.1016/j.jde.2025.113818

Qihuai Liu , Pedro J. Torres

引用次数: 0

摘要

利用适当的正则变换和Moser小扭定理，证明了具有跳变不连续的周期强迫二阶微分方程的大振幅不变环面的存在性。

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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Invariant tori of a class of discontinuous systems

By using suitable canonical transformation and Moser's small twist Theorem, we prove the existence of invariant tori of large amplitude for a periodically forced second-order differential equation with a jump discontinuity.

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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