一类太空等离子体单粒子运动模型的同宿轨

陈丽娟; 鲁世平

doi:10.3879/j.issn.1000-0887.2013.12.004

一类太空等离子体单粒子运动模型的同宿轨

doi: 10.3879/j.issn.1000-0887.2013.12.004

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)

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: 2013-05-06
- 刊出日期: 2013-12-16

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

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)； The Key Project of Chinese Ministry of Education(207047)

摘要

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.
- 非线性 /
- 太空等离子体 /
- 周期解 /
- 同宿轨
Abstract: 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 solutions 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 existence of the homoclinic orbit was obtained. The result provides a better basis for observation and theoretical study in space environment.
- nonlinear /
- space plasma /
- periodic solution /
- homoclinic orbit

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参考文献(28)

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