| 具首次积分的空间二次系统周期解的存在性 |
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| 引用本文： | 卓相来. 具首次积分的空间二次系统周期解的存在性[J]. 烟台大学学报(自然科学与工程版), 2001, 14(4): 239-243 |
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| 作者姓名： | 卓相来 |
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| 作者单位： | 山东科技大学,基础部,山东,泰安,271019 |
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| 摘 要： | 继续讨论以二次柱面为首次积分的空间二次系统．当在每个不变柱面上有奇点时证明了这类系统局部极限环的存在性；同时给出了这类系统存在由第一类(零伦)闭轨组成的全局不变流形的条件．
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| 关 键 词： | 搬限环 不变流形 周期解 |
| 文章编号： | 1004-8820(2001)04-0239-05 |
The Existence of Periodic Solutions for the Space Quadratic System with a First Integral |
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| ZHUO Xiang lai. The Existence of Periodic Solutions for the Space Quadratic System with a First Integral[J]. Journal of Yantai University(Natural Science and Engineering edirion), 2001, 14(4): 239-243 |
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| Authors: | ZHUO Xiang lai |
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| Abstract: | The quadratic system in space with a first integral of quadratic cylinder is discussed. It is proved the existence of local limit cycle when there exists critical points in every invariant cylinder. Some sufficient condition to guarantee the existence of global invariant manifolds consisting zero homotopic closed orbits is gived. |
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| Keywords: | limit cycle invariant manifold periodic solution |
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