描述涡旋运动的四维奇异微分系统的周期解和拟周期解

IF 4.3 3区材料科学 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC

ACS Applied Electronic Materials Pub Date : 2023-01-01 DOI:10.1515/anona-2022-0287

Zaitao Liang, Shengjun Li, Xin Li

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引用次数: 1

摘要

在这篇文章中，我们考虑了一个四维奇异微分系统，它可以描述原子玻色-爱因斯坦凝聚体中带有少量漩涡的构型的动力学。利用拓扑度理论和一些分析方法，证明了该系统具有两个不同族的周期解和两个不同族的拟周期解。对文献中的一些结果进行了推广和改进。

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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Periodic and quasi-periodic solutions of a four-dimensional singular differential system describing the motion of vortices

Abstract In this article, we consider a four-dimensional singular differential system that can describe the dynamics of configurations bearing a small number of vortices in atomic Bose-Einstein condensates. On the basis of the topological degree theory and some analysis methods, we prove that such a system has two distinct families of periodic solutions and two distinct families of quasi-periodic solutions. Some results in the literature are generalized and improved.

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来源期刊

ACS Applied Electronic Materials Multiple-

CiteScore

7.20

自引率

4.30%

发文量

567