一阶Lagrange系统平衡稳定性对参数的依赖关系

宋端

doi:10.3879/j.issn.1000-0887.2014.06.011

一阶Lagrange系统平衡稳定性对参数的依赖关系

doi: 10.3879/j.issn.1000-0887.2014.06.011

宋端

辽东学院影像物理教研室, 辽宁丹东 118001

基金项目: 国家自然科学基金（10932002;11272050）

详细信息

作者简介:
宋端（1962—），女，辽宁丹东人，副教授（E-mail: songduan620606@163.com）

中图分类号: O316
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- 被引次数: 0
出版历程
- 收稿日期: 2014-01-20
- 修回日期: 2014-05-14
- 刊出日期: 2014-06-11

Dependence of Equilibrium Stability of First Order Lagrange Systems on Parameters

SONG Duan

Department of Imaging Physics, Eastern Liaoning University,Dandong, Liaoning 118001, P.R.China

Funds: The National Natural Science Foundation of China（10932002;11272050）

摘要

摘要: 带附加项的定常一阶Lagrange系统在一定条件下可化成梯度系统,利用梯度系统的特性研究了带附加项的一阶Lagrange系统的稳定性及其对参数的依赖关系.以具体实例在参数平面上划出稳定性区域,进一步说明了参数的变化不仅可改变稳定性质，而且可改变平衡点的参数.
- 一阶Lagrange系统 /
- 梯度系统 /
- 稳定性 /
- 参数
Abstract: Steady first order Lagrange systems with additive terms were considered as gradient systems under certain conditions. The characteristics of the gradient system were used to study the equilibrium stability and its dependence on the parameters of the system. With two examples, the first order Lagrange systems’ stability domains were given in the parameter plane. Further, the analytical results indicate that change of the parameters not only influence the systems’ stability, but also influence the quantity of the equilibrium points.
- first order Lagrange system /
- gradient system /
- stability /
- parameter

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参考文献(10)

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