【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.更多还原

【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.更多还原