| RESEARCH ANNOUNCEMENTS —— On the conditions for the Orbitally Asymptot |
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| 引用本文： | 黄启昌,李宪高.RESEARCH ANNOUNCEMENTS —— On the conditions for the Orbitally Asymptot[J].数学进展,2000,29(6):563-565. |
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| 作者姓名： | 黄启昌 李宪高 |
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| 作者单位： | Huang Qichang(ortheast Normal Univ., Changchun, Jilin, 130024, P.～R.～China);Michael Y Li,Li Xiangao(Mississippi State Univ., 130023, U.S.A.);Wang Ke(Northeast Normal Univ., Changchun, Jilin, 130024, P.～R.～China)
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| 摘 要： | This paper studies the behaviors of the solutions in the vicinity of a givenalmost periodic solution of the autonomous system
x′=f(x), x Rn , (1)
where f C1 (Rn ,Rn ). Since the periodic solutions of the autonomous system are not Liapunov asymptotic stable, we consider the weak orbitally stability.
For the planar autonomous systems (n=2), the classical result of orbitally stability about its periodic solution with period w belongs to Poincare, i.e.
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| 关 键 词： | 动力系统 周期轨道 周期解 弱轨道稳定性 |
| 修稿时间： | 2000年9月11日 |
On the Conditions for the Orbitally Asymptotical Stability of the Almost |
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| Huang Qichang,Michael Y Li,Li Xiangao,Wang Ke.On the Conditions for the Orbitally Asymptotical Stability of the Almost[J].Advances in Mathematics,2000,29(6):563-565. |
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| Authors: | Huang Qichang Michael Y Li Li Xiangao Wang Ke |
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| Abstract: | This paper studies the behaviors of the solutions in the vicinity of a givenalmost periodic solution of the autonomous system x′=f(x), x Rn , (1) where f C1 (Rn ,Rn ). Since the periodic solutions of the autonomous system are not Liapunov asymptotic stable, we consider the weak orbitally stability. For the planar autonomous systems (n=2), the classical result of orbitally stability about its periodic solution with period w belongs to Poincare, i.e. |
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