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摘要: 讨论平面自治系统x=Q(x,y), y=P(x)的极限环的存在唯一性,简化了文献[7~9]中极限环存在性条件,并进一步论证了其极限环唯一性,用较简洁直观的方法,得到系统存在唯一极限环的一组条件.Abstract: This paper considers the existence and uniqueness of limit cycle for a planar autonomous system x=Q(x,y), y=P(x). The conditions of existence of limit cycle in papers [7~9] are simplified, in addition, The uniqueness of limit cycle is discussed. Simpler conditions for the existence and uniqueness of limit cycle are obtained.
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Key words:
- limit cycleexistenceuniqueness /
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