| 混合扰动下从闭轨族分支空间周期解 |
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| 引用本文： | 邓磊,窦霁虹,何西兵.混合扰动下从闭轨族分支空间周期解[J].西北大学学报,2007,37(1):13-16. |
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| 作者姓名： | 邓磊 窦霁虹 何西兵 |
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| 作者单位： | 西北大学数学系 陕西西安710069 |
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| 摘 要： | 目的判断三维系统从闭轨分支空间周期解。方法利用中心流形定理并结合平面系统的分支理论。结果得到了两个判断一般三维系统从闭轨分支空间周期解的定理。结论推广了已有的平面系统的结果。
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| 关 键 词： | 混合扰动 闭轨族分支 判定函数 |
| 文章编号： | 1000-274X（2007）01-0013-04 |
| 收稿时间： | 2006-05-26 |
| 修稿时间： | 2006年5月26日 |
Bifurcation of space periodic solution from a family of closed orbits with mixed-perturbation |
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| DENG Lei,DOU Ji-hong,HE Xi-bing.Bifurcation of space periodic solution from a family of closed orbits with mixed-perturbation[J].Journal of Northwest University(Natural Science Edition),2007,37(1):13-16. |
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| Authors: | DENG Lei DOU Ji-hong HE Xi-bing |
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| Abstract: | Aim To judge the space periodic solution of ordinary three-dimension system bifurcated from a family of closed orbits with mixed-perturbation.Methods Using the theorem of center manifold and bifurcation theory of planar system.Results Two judgement theorems on three-dimension system bifurcate space periodic solution are obtained.Conclusion The results of predecessors are extended. |
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| Keywords: | mixed-perturbation bifurcation decision function |
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