| 用广义变分迭代理论求一类相对转动动力学方程的解 |
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| 引用本文： | 石兰芳,莫嘉琪.用广义变分迭代理论求一类相对转动动力学方程的解[J].物理学报,2013,62(4):40203-040203. |
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| 作者姓名： | 石兰芳 莫嘉琪 |
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| 作者单位： | 1. 南京信息工程大学数学与统计学院, 南京 210044;2. 安徽师范大学数学系, 芜湖 241000 |
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| 基金项目： | 国家自然科学基金(批准号:11202106)和安徽高校自然科学研究项目(批准号:KJ2012A001,KJ2012Z245)资助的课题. |
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| 摘 要： | 研究了一类具有非线性阻尼力和强迫周期力项的相对转动扰动动力学方程. 首先利用变分原理构造了广义变分迭代, 其次决定方程的初始近似, 最后通过迭代表示式得到了对应方程的任意次近似解.
关键词：
相对转动
动力系统
变分迭代
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| 关 键 词： | 相对转动 动力系统 变分迭代 |
| 收稿时间： | 2012-09-06 |
Solution of a class of rotational relativistic rotation dynamic equation using the generalized variational iteration theory |
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| Shi Lan-Fang,Mo Jia-Qi.Solution of a class of rotational relativistic rotation dynamic equation using the generalized variational iteration theory[J].Acta Physica Sinica,2013,62(4):40203-040203. |
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| Authors: | Shi Lan-Fang Mo Jia-Qi |
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| Institution: | 1. College of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China;2. Department of Mathematics, Anhui Normal University, Wuhu 241000, China |
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| Abstract: | A class of relational relativistic rotation nonlinear disturbed dynamical equations possessing nonlinear damping force and forcing periodic force is investigated. Firstly, by using the variational principle, the generalized variational iteration is constructed. Then the initial approximate solution is determined. Finally, by using the iteration, the approximation to an arbitray degree for corresponding equation is found. |
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| Keywords: | relative rotation dynamic equation variational iteration |
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