Classification and stability of periodic solutions of a relativistic MEMS

IF 2.9 3区数学 Q1 MATHEMATICS, APPLIED

Physica D: Nonlinear Phenomena Pub Date : 2025-08-16 DOI:10.1016/j.physd.2025.134884

Sunwei Dai, Weihan Li, Xingchen Yu

引用次数: 0

Abstract

We establish a complete classification of positive periodic solutions for a relativistic micro-electro-mechanical system (MEMS), revealing two distinct solution families with qualitatively different asymptotic behaviors under large electrode separation. Moreover, we present a necessary and sufficient condition for the existence of both asymptotically stable and unstable periodic solutions when the driving voltage’s angular frequency is sufficiently enough.

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相对论MEMS周期解的分类与稳定性

我们建立了相对论性微机电系统（MEMS）正周期解的完整分类，揭示了在大电极分离下具有不同性质渐近行为的两个不同解族。此外，我们还给出了当驱动电压的角频率足够大时，渐近稳定和不稳定周期解存在的充分必要条件。

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

Physica D: Nonlinear Phenomena 物理-物理：数学物理

CiteScore

7.30

自引率

7.50%

发文量

213

审稿时长

65 days

期刊介绍： Physica D (Nonlinear Phenomena) publishes research and review articles reporting on experimental and theoretical works, techniques and ideas that advance the understanding of nonlinear phenomena. Topics encompass wave motion in physical, chemical and biological systems; physical or biological phenomena governed by nonlinear field equations, including hydrodynamics and turbulence; pattern formation and cooperative phenomena; instability, bifurcations, chaos, and space-time disorder; integrable/Hamiltonian systems; asymptotic analysis and, more generally, mathematical methods for nonlinear systems.