| 相对运动动力学方程的梯度表示 |
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| 引用本文： | 宋端. 相对运动动力学方程的梯度表示[J]. 辽东学院学报(自然科学版), 2014, 21(4): 303-304 |
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| 作者姓名： | 宋端 |
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| 作者单位： | 辽东学院机电学院,辽宁丹东,118003 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 针对相对运动动力学方程的梯度表示,给出相对运动动力力学系统成为梯度系统的条件。利用梯度系统的性质来研究相对运动动力学方程的解的稳定性问题,通过举例说明结果的应用价值。
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| 关 键 词： | 相对运动动力学 梯度系统 势函数 稳定性 |
A Gradient Representation of Dynamical Equations of Relative Motion |
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| SONG Duan. A Gradient Representation of Dynamical Equations of Relative Motion[J]. Journal of Liaodong University(Natural Sciences), 2014, 21(4): 303-304 |
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| Authors: | SONG Duan |
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| Affiliation: | SONG Duan ( College of Mechanical and Electrical Engineering, Eastern Liaoning University, Dandong 118003, China) |
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| Abstract: | A gradient representation of the dynamical equations of relative motion is studied. The condition on which the system can be considered as a gradient system is given. The properties of gradient system are used to study the stability of solution of the dynamical equations of relative motion. Two examples are given to illustrate the application of the results. |
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| Keywords: | dynamics of relative motion gradient system potential function stability |
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