| LIMIT CYCLES AND BIFURCATION CURVES FOR THE QUADRATIC DIFFERENTIAL SYSTEM （Ⅲ）m=0 HAVING THREE ANTI-SADDLES （Ⅱ） |
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| 作者姓名： | Ye Yanqian |
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| 摘 要： | As a continuation of 1], the author studies the limit cycle bifurcation around the focus S1 other than O(0, 0) for the system (1) as δ varies. A conjecture on the non-existence of limit cycles around S1, and another one on the non-coexistence of limit cycles wound both O and S1 are given, together with some numerical examples.
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| 关 键 词： | 极限循环 分歧曲线 二次非线性系统 反鞍点 |
| 收稿时间： | 1995/2/20 0:00:00 |
LIMIT CYCLES AND BIFURCATION CURVES FOR THE QUADRATIC DIFFERENTIAL SYSTEM (III)m=0HAVING THREE ANTI-SADDLES (II) |
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| Ye Yanqian.LIMIT CYCLES AND BIFURCATION CURVES FOR THE QUADRATIC DIFFERENTIAL SYSTEM (III)m=0HAVING THREE ANTI-SADDLES (II)[J].Chinese Annals of Mathematics,Series B,1997,18(3):315-322. |
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| Authors: | Ye Yanqian |
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| Institution: | DepartmentofMathematics,NanjingUniversity,Nanjing210008 |
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| Abstract: | As a continuation of 1], the author studies the limit cycle
bifurcation around the focus $S_1$ other than $O(0,0)$ for the
system (1) as $\delta$ varies. A conjecture on the non-existence
of limit cycles around $S_1$, and another one on the
non-coexistence of limit cycles around both $O$ and $S_1$ are
given, together with some numerical examples. |
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| Keywords: | Quadratic differential system Limit cycle Bifurcation Anti-saddle Focus |
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