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 3.2 1区数学 Q1 MATHEMATICS

Advances in Nonlinear Analysis 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

Advances in Nonlinear Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

6.00

自引率

9.50%

发文量

审稿时长

30 weeks

期刊介绍： Advances in Nonlinear Analysis (ANONA) aims to publish selected research contributions devoted to nonlinear problems coming from different areas, with particular reference to those introducing new techniques capable of solving a wide range of problems. The Journal focuses on papers that address significant problems in pure and applied nonlinear analysis. ANONA seeks to present the most significant advances in this field to a wide readership, including researchers and graduate students in mathematics, physics, and engineering.