Polynomial Vector Fields on the Clifford Torus

Author:

Llibre Jaume1ORCID,Murza Adrian C.2

Affiliation:

1. Departament de Matemàtiques, Universitat Autònoma de Barcelona, Catalonia, Spain

2. Department of Mathematical Sciences, University of Texas at Dallas, 800 W Campbell Road, 75080-3021 Richardson, Texas, USA

Abstract

First, we characterize all the polynomial vector fields in [Formula: see text] which have the Clifford torus as an invariant surface. Then we study the number of invariant meridians and parallels that such polynomial vector fields can have on the Clifford torus as a function of the degree of these vector fields.

Funder

Ministerio de Ciencia, Innovación y Universidades

Agència de Gestió d’Ajuts Universitaris i de Recerca

H2020 European Research Council

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Characterization and dynamics of certain classes of polynomial vector fields on the torus;Journal of Mathematical Analysis and Applications;2024-09

2. Darboux theory of integrability on the Clifford n-dimensional torus;Bulletin des Sciences Mathématiques;2024-05

3. Quadratic, Homogeneous and Kolmogorov Vector Fields on $S^1\Times S^2$ and $S^2 \Times S^1$;2024

4. Generalized Cartesian–Nambu Vector Fields;Dynamics through First-Order Differential Equations in the Configuration Space;2023

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3