| 一类相对论转动动力学模型 |
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| 引用本文： | 许永红,林万涛,徐惠,姚静荪,莫嘉琪.一类相对论转动动力学模型[J].兰州大学学报(自然科学版),2012(1):100-103. |
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| 作者姓名： | 许永红 林万涛 徐惠 姚静荪 莫嘉琪 |
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| 作者单位： | 蚌埠学院数理系;中国科学院大气物理研究所大气科学和地球流体力学数值模拟国家重点实验室;安徽财经大学统计与应用数学学院;安徽师范大学数学系 |
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| 基金项目： | 国家自然科学基金项目(40876010);中国科学院战略性先导科技专项“应对气候变化的碳收支认证及相关问题”项目(XDA01020304);安徽省教育厅自然科学基金项目(KJ2011A135);江苏省自然科学基金项目(BK2011042) |
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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非线性动力学模型.首先构造一个同伦映射,其次决定方程的初始近似,最后通过同伦映射方法得到了对应模型的任意次近似解.
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| 关 键 词： | 相对转动 动力系统 近似解 |
A class of relativistic rotational dynamic models |
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| XU Yong-hong,LIN Wan-tao,XU Hui,YAO Jing-sun,MO Jia-qi.A class of relativistic rotational dynamic models[J].Journal of Lanzhou University(Natural Science),2012(1):100-103. |
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| Authors: | XU Yong-hong LIN Wan-tao XU Hui YAO Jing-sun MO Jia-qi |
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| Institution: | 1.Department of Mathematics & Physics,Bengbu College,Bengbu 233030,Anhui,China 2.State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamic, Institute of Atmospheric Physics,Chinese Academy of Sciences,Beijing 100029,China 3.School of Statistics & Applied Mathematics,Anhui University of Finance and Economics, Bengbu 233030,Anhui,China 4.Department of Mathematics,Anhui Normal University,Wuhu 241000,Anhui,China |
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| Abstract: | A class of relativistic rotational nonlinear dynamical models possessing a nonlinear damping force and periodic force were investigated.First,a homotopic mapping was constructed;then the initial approximate solution was decided;and finally,the arbitrarily degree approximation for corresponding model was found by using the homotopic mapping method. |
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| Keywords: | relative rotation dynamic equation approximate solution |
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