一类太空等离子体单粒子运动模型的同宿轨  

Homoclinic Orbit of the Motion Model for a Single Space Plasma Particle

作　　者：陈丽娟[1] 鲁世平[1] 

机构地区：[1]南京信息工程大学数学与统计学院,南京210044

出　　处：《应用数学和力学》2013年第12期1258-1265,共8页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(11271197);教育部科学技术重点资助项目(207047);江苏省普通高校研究生科研创新计划项目资助项目(CXLX13-502)~~

摘　　要：由于空间等离子体间接观察的不确定性和不可重复性以及只能进行被动实验的局限性,为了准确地描述空间等离子体粒子运动的动力学特征,建立了一类太空等离子体单粒子运动的非线性模型.首先运用重合度理论探讨了一类非线性问题的周期解,然后将其应用于太空等离子体单粒子运动模型的同宿轨问题的研究,获得了该模型存在同宿轨的新结果,为研究空间环境提供了更好的观测和理论基础.Due to uncertainty and non-repeatability in the indirect observation of space plasma, and limitation of the passive experiment, in order to describe the dynamic characteristics of the space plasma particle motion accurately, a nonlinear motion model of a single space plasma particle was proposed. By dint of Mawhin＇ s continuation theorem, the existence of periodic so- lutions to a class of nonlinear problems was discussed, and in turn, the homoclinic orbit of the motion model for a single space plasma particle was investigated. A new result about the exist- ence of the homoclinic orbit was obtained. The result provides a better basis for observation and theoretical study in space environment.

关 键 词：非线性 太空等离子体 周期解 同宿轨 

分 类 号：O193[理学—数学]