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电子束聚焦系统模型的周期性

陈丽娟 鲁世平

陈丽娟, 鲁世平. 电子束聚焦系统模型的周期性[J]. 应用数学和力学, 2019, 40(2): 181-188. doi: 10.21656/1000-0887.390092
引用本文: 陈丽娟, 鲁世平. 电子束聚焦系统模型的周期性[J]. 应用数学和力学, 2019, 40(2): 181-188. doi: 10.21656/1000-0887.390092
CHEN Lijuan, LU Shiping. Periodicity of the Model for Electron Beam Focusing Systems[J]. Applied Mathematics and Mechanics, 2019, 40(2): 181-188. doi: 10.21656/1000-0887.390092
Citation: CHEN Lijuan, LU Shiping. Periodicity of the Model for Electron Beam Focusing Systems[J]. Applied Mathematics and Mechanics, 2019, 40(2): 181-188. doi: 10.21656/1000-0887.390092

电子束聚焦系统模型的周期性

doi: 10.21656/1000-0887.390092
基金项目: 国家自然科学基金(11271197)
详细信息
    作者简介:

    陈丽娟(1973—),女,副教授,博士(通讯作者. E-mail: cljung@sohu.com).

  • 中图分类号: O193

Periodicity of the Model for Electron Beam Focusing Systems

Funds: The National Natural Science Foundation of China(11271197)
  • 摘要: 行波管电子束聚焦理论在物理、生物、电子等科学领域中的应用非常广泛.为了控制电子束的运动轨迹,使其有效地聚焦目标,利用重合度理论中的延拓定理对电子束聚焦系统数学模型的周期解的存在性进行了研究,得到了该模型在一定条件下存在周期正解的结论.同时分析了模型系数取值范围的可行性,对行波管的设计具有一定的指导意义.
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    [12] 章美月, 刘文斌, 张建军. 电子束聚焦系统模型正椭圆周期解的存在性[J]. 中国矿业大学学报, 2007,36(6): 864-868.(ZHANG Meiyue, LIU Wenbin, ZHANG Jianjun. Existence of positive elliptic periodic solutions for the electron beam focusing system model[J]. Journal of China University of Mining & Technology,2007,36(6): 864-868.(in Chinese))
    [13] 〖JP2〗陈丽娟, 鲁世平. 地球磁层电磁场中粒子引导中心漂移运动模型的周期轨[J]. 物理学报, 2014,63(19): 190202.(CHEN Lijuan, LU Shiping. The periodic problem of drift motion of the guidance center in the earth’s magnetosphere electromagnetic field[J]. Acta Physica Sinica,2014,63(19): 190202.(in Chinese))〖JP〗
    [14] 陈丽娟, 鲁世平, 徐晶. 海-气耦合气候系统非线性扰动模式的周期正解[J]. 应用数学和力学, 2017,38(4): 469-476.(CHEN Lijuan, LU Shiping, XU Jing. Positive periodic solutions to the nonlinear disturbed model for sea-air coupling climate systems[J]. Applied Mathematics and Mechanics,2017,38(4): 469-476.(in Chinese))
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    [16] 何国柱. 永久磁铁周期性聚焦电子束[J]. 物理学报, 1959,15(10): 535-549.(HE Guozhu. Electron beam focusing with periodic magnet structures[J]. Acta Physica Sinica,1959,15(10): 535-549.(in Chinese))
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出版历程
  • 收稿日期:  2018-03-26
  • 修回日期:  2018-05-17
  • 刊出日期:  2019-02-01

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