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托卡马克中低模态到高模态转迁模型的混沌运动

陈芳启 周良强 王霞 陈予恕

陈芳启, 周良强, 王霞, 陈予恕. 托卡马克中低模态到高模态转迁模型的混沌运动[J]. 应用数学和力学, 2009, 30(7): 757-765. doi: 10.3879/j.issn.1000-0887.2009.07.001
引用本文: 陈芳启, 周良强, 王霞, 陈予恕. 托卡马克中低模态到高模态转迁模型的混沌运动[J]. 应用数学和力学, 2009, 30(7): 757-765. doi: 10.3879/j.issn.1000-0887.2009.07.001
CHEN Fang-qi, ZHOU Liang-qiang, WANG Xia, CHEN Yu-shu. Chaotic Motions for the Model of the L-Mode to H-Mode in Tokamak[J]. Applied Mathematics and Mechanics, 2009, 30(7): 757-765. doi: 10.3879/j.issn.1000-0887.2009.07.001
Citation: CHEN Fang-qi, ZHOU Liang-qiang, WANG Xia, CHEN Yu-shu. Chaotic Motions for the Model of the L-Mode to H-Mode in Tokamak[J]. Applied Mathematics and Mechanics, 2009, 30(7): 757-765. doi: 10.3879/j.issn.1000-0887.2009.07.001

托卡马克中低模态到高模态转迁模型的混沌运动

doi: 10.3879/j.issn.1000-0887.2009.07.001
基金项目: 天津市自然科学基金资助项目(09JCZDJC26800);国家自然科学基金(重点)资助项目(10632040)
详细信息
    作者简介:

    陈芳启(1963- ),男,山东人,教授,博士导师(联系人.E-mail:cfqyyf@eyou.com).

  • 中图分类号: O347.4

Chaotic Motions for the Model of the L-Mode to H-Mode in Tokamak

  • 摘要: 利用Melnikov方法详细研究了在托卡马克(Tokamaks)中,等离子区边缘附近低模态到高模态转迁方程的混沌动力学.该转迁方程是一个含外激励和参数激励的系统.对含周期外激励和线性参数激励、三次参数激励的系统分别绘出了用来划分混沌区和非混沌区的临界曲线.得到的结果表明,含有线性或三次参数激励的系统存在不可控区域,在该区域中异宿轨分岔总是导致混沌发生.特别地,三次参数激励系统存在一个“可控频率”,施以该频率的激励,不论激励的振幅多大,同宿轨分岔总是不会导致混沌发生.得到了这类系统的一些复杂的动力学行为.
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出版历程
  • 收稿日期:  2008-10-17
  • 修回日期:  2009-06-11
  • 刊出日期:  2009-07-15

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