摘要
圆盘中的2-点涡系统在刘维尔意义下是完全可积的.本文利用2个独立的首次积分构造合适的正则坐标变换对系统做出约化,以2个点涡强度相等情形为例,刻画它们的运动轨迹,并对不同参数条件下系统平衡解的存在性进行分类.
The 2-vortex system in disk is completely integrable in the sense of Liou-ville.With its two independent first integrals,it is possible to make reduction to the system by a suitable collection of normal coordinate transformations.It is also possible in equal strength case to describe their trajectories and classify existence of equilibria according to parameter values.
作者
戴芊慧
晋榕榕
毛玉兰
DAI Qianhui;JIN Rongrong;MAO Yulan(College of Science,China University of Petroleum-Beijing,102249,Beijing,China;School of Mathematical Sciences,Beijing Normal University,100875,Beijing,China)
出处
《北京师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2019年第2期179-184,共6页
Journal of Beijing Normal University(Natural Science)
基金
国家自然科学基金资助项目(11801565
11271044)
关键词
点涡
哈密顿系统
可积系统
约化
平衡解
point vortex
Hamiltonian system
integrable system
reduction
equilibrium
