| 非自治Birkhoff系统的广义斜梯度表示 |
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| 引用本文： | 李彦敏,梅凤翔.非自治Birkhoff系统的广义斜梯度表示[J].云南大学学报(自然科学版),2015,37(6):832-836. |
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| 作者姓名： | 李彦敏 梅凤翔 |
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| 作者单位： | 1.商丘师范学院 物理与电气信息学院, 河南 商丘 476000; |
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| 摘 要： | 给出广义斜梯度系统的微分方程并研究其性质.得到非自治Birkhoff系统可以成为广义斜梯度系统的条件.利用广义斜梯度系统的性质来研究非自治Birkhoff系统的稳定性.举例说明结果的应用.
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| 关 键 词： | Birkhoff系统 广义斜梯度系统 Lyapunov函数 稳定性 |
| 收稿时间： | 2015-07-21 |
A generalized skew-gradient representation for non autonomous Birkhoffian system |
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| LI Yan-min,MEI Feng-xiang.A generalized skew-gradient representation for non autonomous Birkhoffian system[J].Journal of Yunnan University(Natural Sciences),2015,37(6):832-836. |
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| Authors: | LI Yan-min MEI Feng-xiang |
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| Institution: | 1.Department of Physics and Information Engineering, Shangqiu Normal University, Shangqiu 476000, China; |
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| Abstract: | A generalized skew-gradient system has been proposed and the characteristic of the system has been studied.The condition under which a non autonomous Birkhoffian system can be considered as a generalized skew-gradient system has been obtained.The characteristic of the generalized skew-gradient system can be used to study the stability of the Birkhoffian system.Some examples have been given to illustrate the application of the result. |
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| Keywords: | Birkhoffian system generalized skew-gradient system Lyapunov function stability |
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