| 二次系统不存在三次代数极限环 |
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| 引用本文： | 沈聪. 二次系统不存在三次代数极限环[J]. 辽宁师范大学学报(自然科学版), 1996, 19(3): 197-201 |
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| 作者姓名： | 沈聪 |
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| 作者单位： | 辽宁警官高等专科学校 |
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| 基金项目： | 辽宁省教委高校科研项目 |
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| 摘 要： | 文［３］曾给出了具有孤立闭分支的三次曲线共有九类．本文逐一地证明了这九类三次曲线的孤立闭分支均不同能成为二次系统的极限环，从而证明了二次系统不存在三次代数极限环
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| 关 键 词： | 二次系统，三次代数极限环 |
THERE DOESN''T EXIST THE LIMIT CYCLE OF CUBIC CURVE IN THE QUARDRATIC SYSTEM |
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| Shen Cong. THERE DOESN''T EXIST THE LIMIT CYCLE OF CUBIC CURVE IN THE QUARDRATIC SYSTEM[J]. Journal of Liaoning Normal University(Natural Science Edition), 1996, 19(3): 197-201 |
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| Authors: | Shen Cong |
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| Affiliation: | Liaoning Police High Acdemic School Dalian 116038 |
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| Abstract: | In reference , it was proved that there were all together nine types of the cubic curves with the isolated close bifurcations. In this article, it is proved one by one that none of these isolated close bifurcations can become limit cycles of quaratic system, and a conclusion is drawn that there doesn't exist the limit cycle of cubic curve in the quardratic system. |
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| Keywords: | quardratic system cubic curve limit cycle |
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