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

Autor: Liang Zaitao, Li Shengjun, Li Xin
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Advances in Nonlinear Analysis, Vol 12, Iss 1, Pp 2528-2551 (2023)
Druh dokumentu: article
ISSN: 2191-950X
DOI: 10.1515/anona-2022-0287
Popis: 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.
Databáze: Directory of Open Access Journals