| 一类三次系统的鞍点量和极限环 |
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| 引用本文： | 詹榜华.一类三次系统的鞍点量和极限环[J].西南师范大学学报(自然科学版),1989,14(3):29-33. |
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| 作者姓名： | 詹榜华 |
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| 作者单位： | 中南工业大学 |
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| 摘 要： | 本文通过求出具有双纽线解y~2=x~2-1/4x~4的三次系统的奇点(0,0)的鞍点量,得出鞍点量与分界线环y~2=x~2-1/4x~4的稳定性及极限环分枝,并求出了可积条件及通积分。
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| 关 键 词： | 鞍点量 极限环 分界线环 |
SADDLE VALUES AND LIMIT CYCLES FOR A GIVEN CLASS OF CUBIC SYSTEMS |
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| Zhan Banghua.SADDLE VALUES AND LIMIT CYCLES FOR A GIVEN CLASS OF CUBIC SYSTEMS[J].Journal of Southwest China Normal University(Natural Science),1989,14(3):29-33. |
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| Authors: | Zhan Banghua |
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| Institution: | Central South University of Technology |
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| Abstract: | In this paper, the author has studied the limit cycles bifurcation and thestability of separatrix cycle for a given class of cubic systems, and obtained therelation for its saddle values with respect to limit cycles bifurcation and the stability of separatrix cycle. |
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| Keywords: | saddle point value limit cycle separatrix cycle |
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