期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
Some Properties of Homogeneous Vector Fields of Degree Three in R3
摘要/Abstract
摘要：
讨论了R3中三次齐次向量场Q(x)的一些几何性质,特别是这样的向量场诱导出的切向量场QT(x)在球面S2上的几何结构,如奇点、轨线(包括闭轨、极限环)、异宿环的几何分布情况
Abstract：
Shall discuss some geometric properties of homogeneous vector fields of degree three in R3,especially the geometric structure of the tangent vector field QT(x) on the sphere S2 induced by such vector fields,namely the geometric distribution of singularities,trajectories(including closed orbits,limit cycles)and heteroclinic loops.
关键词
Key words：
tangent vector field
;
closed orbits
;
singularities
;
big circles