无晨昏电场下带电粒子在中性片磁场中运动的周期轨

陈丽娟; 鲁世平

doi:10.3879/j.issn.1000-0887.2014.11.011

无晨昏电场下带电粒子在中性片磁场中运动的周期轨

doi: 10.3879/j.issn.1000-0887.2014.11.011

南京信息工程大学数学与统计学院, 南京 210044

基金项目: 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)

详细信息

作者简介:
陈丽娟（1973—），女，江苏靖江人，副教授，博士生(通讯作者. E-mail: cljung@sohu.com).

中图分类号: O193
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- 被引次数: 0
出版历程
- 收稿日期: 2014-04-11
- 修回日期: 2014-09-22
- 刊出日期: 2014-11-18

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

School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, P.R.China

Funds: The National Natural Science Foundation of China(11271197)

摘要

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.
- 带电粒子 /
- 中性片磁场 /
- 非线性 /
- 周期轨
Abstract: 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. Under 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.
- electric particle /
- neutral sheet magnetic field /
- nonlinear /
- periodic orbit

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参考文献(17)

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