| 自治Birkhoff系统的平衡稳定性及全局稳定性 |
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| 引用本文： | 陈向炜,傅景礼.自治Birkhoff系统的平衡稳定性及全局稳定性[J].商丘师范学院学报,2000,16(6):6-10. |
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| 作者姓名： | 陈向炜 傅景礼 |
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| 作者单位： | 商丘师范学院物理系,河南商丘 |
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| 基金项目： | 国家自然科学基金!(19972 010)，河南省自然科学基金!(9980 40080)，河南省教委自然科学基金!(98130003)资助项目 |
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| 摘 要： | 研究自治Ｂｉｒｋｈｏｆｆ系统的平衡稳定性及全局稳定性，首先根据Ｌｉａｐｕｎｏｖ一次近似理论和Ｌｉａｐｕｎｏｖ直接法研究自治Ｂｉｒｋｈｏｆｆ系统的平衡稳定性，给出平衡稳定性与不稳定性的有关判据，然后利用Ｋｒａｓｏｖｓｋｉｉ方法研究自治Ｂｉｒｋｈｏｆｆ系统的全局渐近稳定性。
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| 关 键 词： | Birkhoff系统 平衡稳定性 全局稳定性 |
Equilibrium stability and global stability of autonomous Birkhoff system |
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| CHEN Xiang wei,FU Jing li,LUO Shao kai.Equilibrium stability and global stability of autonomous Birkhoff system[J].Journal of Shangqiu Teachers College,2000,16(6):6-10. |
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| Authors: | CHEN Xiang wei FU Jing li LUO Shao kai |
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| Abstract: | Equilibrium stability and global stability of autonomous Birkhoff system are studied.Firstly the equilibrium stability of autonomous Birkhoff system is studied by the Liapunov first approximation theory and the Liapunov direct method,and the corresponding criteria for equilibrium stability and unstability are given.Then,the global asymptotical stability of autonomous Birkhoff system is studied by the Krasovskii method.Finally,an example is presented to illustrate these results. |
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| Keywords: | Birkhoff system equilibrium stability global stability |
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