| 一类三次系统极限环的唯一性和唯二性 |
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| 引用本文： | 王育全. 一类三次系统极限环的唯一性和唯二性[J]. 系统科学与数学, 2007, 27(6): 866-874 |
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| 作者姓名： | 王育全 |
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| 作者单位： | 南京财经大学应用数学系,南京,210003 |
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| 摘 要： | 讨论了一类三次系统x=-y(1-βx2)-(a1x a2x2 a3x3),y=b1x b2x2 b3x3的极限环问题.对包含一个奇点或多个奇点的极限环的唯一性和唯二性给出了若干充分条件.
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| 关 键 词： | 三次系统 极限环 唯一性 唯二性 |
| 收稿时间： | 2005-07-07 |
| 修稿时间： | 2005-07-07 |
The Uiniqueness and Existence of at Most Two Limit Cycles for a Class of Cubic Systems |
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| Wang Yuquan. The Uiniqueness and Existence of at Most Two Limit Cycles for a Class of Cubic Systems[J]. Journal of Systems Science and Mathematical Sciences, 2007, 27(6): 866-874 |
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| Authors: | Wang Yuquan |
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| Affiliation: | Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210003 |
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| Abstract: | This paper gives the sufficient conditions concerning the uniqueness and existence of at most two limit cycles surrounding one or three singular points for a class of cubic systems begin{eqnarray*}dot{x}&=&-y(1-bb x^2)-(a_1x+a_2x^2+a_3x^3),dot{y}&=&b_1x+b_2x^2+b_3x^3.end{eqnarray*} |
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| Keywords: | Cubic systems limit cycles uniqueness existence of at most two limit cycles. |
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