关于二次微分系统Ⅰ类方程的极限环之二 |
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引用本文: | 李孝贵.关于二次微分系统Ⅰ类方程的极限环之二[J].数学学报,1999,42(1):55-60. |
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作者姓名: | 李孝贵 |
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作者单位: | :中国科学院数学研究所 北京 100080 |
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摘 要: | 本文研究了二次微分系统Ⅰ类方程dx/dt=-y+δx+lx2+mxy+ny2,dy/dt=x的极限环问题,得到了当lι≠0时大范围内存在极限环的条件.
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关 键 词: | 极限环 存在性 |
修稿时间: | :1997-12-0 |
On Limit Cycles of Type I Equation of Quadratic Differential Systems (2) |
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Institution: | Li Xiaogui(Institute of Mathematics, Academia Sinica, Beijing 100080, P. R. China) |
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Abstract: | In this paper, the problem on limit cycles of Type I equation of quadratic differential systems dx/dt=-y+δx+lx2+mxy+ny2, dx/dt=x has been researched.It obtained the existential condition of limit cycles on large range when l≠0. |
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Keywords: | Limit cycles Existence |
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