| 具不变集的平面三次系统极限环的不存在性 |
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| 引用本文： | 卓相来 孟新柱. 具不变集的平面三次系统极限环的不存在性[J]. 山东科技大学学报(自然科学版), 2000, 19(4): 14-17 |
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| 作者姓名： | 卓相来 孟新柱 |
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| 作者单位： | 山东科技大学基础部,山东泰安 |
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| 摘 要： | 用定性分析的方法，证明了具有两条三次代数曲线解ｙ＾２＝（ａｘ＾３＋ｂｘ）＾２的平面三次系统无级限环，但可以有奇闭轨。
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| 关 键 词： | 三次系统 三次代数曲线解 极限环 奇点 奇闭轨 |
The Nonexistence of Limit Cycle for the Cubic System in Plane with Unchanged set |
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| ZHUO Xiang-lai,MENG Xin-zhu. The Nonexistence of Limit Cycle for the Cubic System in Plane with Unchanged set[J]. Journal of Shandong Univ of Sci and Technol: Nat Sci, 2000, 19(4): 14-17 |
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| Authors: | ZHUO Xiang-lai MENG Xin-zhu |
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| Abstract: | In this paper,nonexistence of limit cycle for the c ubic system in plane with two cubic algebric curve solutions y2=(ax3 bx)2 was proved by qualitative analysis method,however,the singular closed orbit can exist in some cases. |
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| Keywords: | cubic system cubic algebric curve solution limit c ycle singularpoint |
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