| 托卡马克装置三次系统的Lyapunov量计算 |
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| 引用本文： | 陈莹,师建国,李静.托卡马克装置三次系统的Lyapunov量计算[J].扬州大学学报(自然科学版),2010,13(1). |
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| 作者姓名： | 陈莹 师建国 李静 |
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| 作者单位： | 1. 黄淮学院数学系,河南驻马店,463000
2. 北京丁业大学应用数理学院,北京,100124 |
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| 基金项目： | 国家自然科学基金重点资助项目，北京市自然科学基金重点资助项目，驻马店市自然科学基金资助项目 |
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| 摘 要： | 主要研究托卡马克装置三次系统的Lyapunov量计算问题,给出一般平面多项式系统到其基本复形式之间的转换及其转换公式;利用Lyapunov量复算法在Maple计算程序下,计算出该三次一般系统的Lyapunov量,得到原点是其一阶细焦点的结论.
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| 关 键 词： | 托卡马克装置三次系统 极限环分岔 平均方程 Lyapunov量 |
Computation of Lyapunov values for Tokamak cubic system |
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| CHEN Ying,SHI Jian-guo,LI Jing.Computation of Lyapunov values for Tokamak cubic system[J].Journal of Yangzhou University(Natural Science Edition),2010,13(1). |
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| Authors: | CHEN Ying SHI Jian-guo LI Jing |
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| Institution: | CHEN Ying1,SHI Jian-guo1,LI Jing2*(1.Dept of Math,Huanghuai Coll,Zhumadian 463000,China,2.Coll of Appl Sci,Beijing Univ of Tech,Beijing 100124,China) |
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| Abstract: | The computation of Lyapunov values for Tokamak cubic system is mainly investigated in this paper.Transformation relationship and transformation formulas between general planar polynomial systems and their standard form are given.Under Maple computational program,the Lyapunov values for this cubic system are computed by using the complex algorithm of Lyapunov values.It is also presented that the highest order of fine focus is 1. |
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| Keywords: | Tokamak cubic system limit cycle bifurcation averaged equation Lyapunov value |
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