| 约束自治广义Birkhoff系统平衡稳定性的梯度系统方法 |
| |
| 引用本文： | 曹秋鹏,张毅,陈向炜.约束自治广义Birkhoff系统平衡稳定性的梯度系统方法[J].云南大学学报(自然科学版),2015,37(2):228-232. |
| |
| 作者姓名： | 曹秋鹏 张毅 陈向炜 |
| |
| 作者单位： | 1.苏州科技学院 数理学院,江苏 苏州 215009; |
| |
| 基金项目： | 国家自然科学基金(11372169);苏州科技学院研究生科研创新计划(SKCX14_056). |
| |
| 摘 要： | 建立约束自治广义Birkhoff系统的微分方程.给出约束自治广义Birkhoff系统转化为梯度系统的条件.利用梯度系统的特性来研究约束自治广义Birkhoff系统的稳定性.最后举例说明结果的应用.
|
| 关 键 词： | 自治广义Birkhoff系统 梯度系统 平衡稳定性 |
| 收稿时间： | 2014-08-27 |
Stability of equilibrium for autonomous generalized Birkhoffian system with constraints by gradient system |
| |
| CAO Qiu-peng,ZHANG Yi,CHAN Xiang-wei.Stability of equilibrium for autonomous generalized Birkhoffian system with constraints by gradient system[J].Journal of Yunnan University(Natural Sciences),2015,37(2):228-232. |
| |
| Authors: | CAO Qiu-peng ZHANG Yi CHAN Xiang-wei |
| |
| Institution: | 1.School of Mathematics and Physics,Suzhou University of Science and Technology,Suzhou 215009,China; |
| |
| Abstract: | The differential equations of the autonomous generalized Birkhoffian system with constraints have been established in our research.The conditions for an autonomous generalized Birkhoffian system with constraints being translated into a gradient system have been given.We''ve studied the stability of equilibrium for autonomous generalized Birkhoffian system with constraints by the characteristic of the gradient system.In the end, an example has been given to illustrate the application of the results. |
| |
| Keywords: | autonomous generalized Birkhoffian system gradient system stability of equilibrium |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《云南大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《云南大学学报(自然科学版)》下载免费的PDF全文 |
