无晨昏电场下带电粒子在中性片磁场中运动的周期轨  

Periodic Orbits of Electric Particles Sporting in Neutral Sheet Magnetic Field Without Dawn-Dusk Electric Field

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》2014年第11期1280-1286,共7页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(11271197);江苏省普通高校研究生科研创新计划(CXLX13-502)~~

摘　　要：为了描述无晨昏电场情况下带电粒子在中性片磁场非小扰动区中运动的动力学特征,建立了一个非线性的动力学系统.运用Mawhin重合度理论探讨了一类非线性问题的周期解,然后将其应用于无晨昏电场情况下带电粒子在远磁尾中性片磁场非小扰动区中运动的动力学模型的周期解问题的研究,得出了带电粒子在初始位置逐渐远离中性片运动过程中存在周期轨的结果.在此基础上,还可以进一步探讨该模型同宿轨等其它动力学行为的存在性问题.In order to describe the dynamic characteristics of the electric particles sporting in neutral sheet magnetic field without dawn-dusk electric field,a nonlinear motion model was proposed.Based on the Mawhin＇s continuation theorem,the existence of periodic solutions to a class of nonlinear problems was discussed,and wherery,the problem of periodic solution of electric particles sporting in neutral sheet magnetic field without dawn-dusk electric field was investigated.U nder the given initial conditions,a result about the existence of periodic orbits of the model was obtained.Furthermore,based on our result,other dynamic behaviours of the model,such as the homoclinic orbits can are to discussed.

关 键 词：带电粒子 中性片磁场 非线性 周期轨 

分 类 号：O193[理学—数学]