| 广义Birkhoff系统动力学的基本框架 |
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| 引用本文： | 梅凤翔,张永发,何光,冮铁强,解加芳. 广义Birkhoff系统动力学的基本框架[J]. 北京理工大学学报, 2007, 27(12): 1035-1038 |
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| 作者姓名： | 梅凤翔 张永发 何光 冮铁强 解加芳 |
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| 作者单位： | 1. 北京理工大学,理学院,北京,100081
2. 北京理工大学,宇航科学技术学院,北京,100081 |
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| 基金项目： | 国家自然科学基金 , 教育部高等学校博士学科点专项科研基金 |
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| 摘 要： | 广义Birkhoff系统是一类更广泛的动力学系统.以广义Pfaff-Birkhoff原理和广义Birkhoff方程为基础,构造广义Birkhoff系统动力学的基础理论框架,包括新原理的提出、系统动力学逆问题、各种积分方法以及系统的运动稳定性等.
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| 关 键 词： | 广义Birkhoff系统动力学 动力学逆问题 积分方法 运动稳定性 Birkhoff 系统动力学 理论框架 System Dynamics Generalized Framework 运动稳定性 积分方法 逆问题 新原理 构造 方程 动力学系统 |
| 文章编号： | 1001-0645（2007）12-1035-04 |
| 收稿时间： | 2007-11-23 |
| 修稿时间： | 2007-11-23 |
Fundamental Framework of Generalized Birkhoff System Dynamics |
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| MEI Feng-xiang,ZHANG Yong-f,HE Guang,GANG Tie-qaing and XIE Jia-fang. Fundamental Framework of Generalized Birkhoff System Dynamics[J]. Journal of Beijing Institute of Technology(Natural Science Edition), 2007, 27(12): 1035-1038 |
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| Authors: | MEI Feng-xiang ZHANG Yong-f HE Guang GANG Tie-qaing XIE Jia-fang |
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| Affiliation: | School of Science,Beijing Institute of Technology,Beijing 100081,China;School of Science,Beijing Institute of Technology,Beijing 100081,China;School of Aerospace Science and Engineering,Beijing Institute of Technology, Beijing 100081,China;School of Science,Beijing Institute of Technology,Beijing 100081,China;School of Science,Beijing Institute of Technology,Beijing 100081,China |
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| Abstract: | Generalized Birkhoff system dynamics is a class of dynamical system superior to traditional classical mechanical systems. Based on the generalized Pfaff-Birkhoff principle and the generalized Birkhoff equations, the basic theoretical framework of generalized Birkhoff system dynamics is established. It deals with the new principles, inverse problems of system dynamics, many integral methods, as well as the stability of motion of systems et al. |
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| Keywords: | generalized Birkhoff system dynamics inverse problem of dynamics integral methods stability of motion |
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