一类空间等离子体单粒子运动模型的周期轨  

The Periodic Orbit of Sport Model of Single Particle for Space Plasmas

作　　者：陈丽娟[1] 鲁世平[1] CHEN Li-juan;LU Shi-ping(School of Mathematics and Statistics,Nanjing University of Information Science and Technology,Nanjing 210044,China)

机构地区：[1]南京信息工程大学数学与统计学院

出　　处：《数学的实践与认识》2018年第21期176-180,共5页Mathematics in Practice and Theory

基　　金：国家自然科学基金面上项目(11271197);江苏省普通高校研究生科研创新计划项目(CXLX13_502)

摘　　要：为准确地描述空间等离子体粒子运动的动力学特征,建立了一类空间等离子体单粒子运动的非线性模型.运用重合度理论探讨了一类非线性问题的周期解,然后将其应用于空间等离子体单粒子运动模型的周期轨问题的研究,获得了模型存在周期轨的结果,为研究空间环境提供了更好的观测和理论基础.In order to describe the dynamic characteristics of space plasmas particle motion accurately. A nonlinear model of space plasmas single particle is proposed. Using Mawhin＇s continuation theorem, the existence of periodic solution for a class of nonlinear problem is discussed, and then by using it, the periodic orbit of space plasmas single particle motion is investigated. A new result on the existence of periodic orbit is obtained. The result provides a better basis for observation and theory study in space environment.

关 键 词：非线性 空间等离子体 重合度 周期轨 

分 类 号：O53[理学—等离子体物理]