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| LIMIT CYCLES AND BIFURCATION CURVES FOR THE QUADRATIC DIFFERENTIAL SYSTEM (III)m=0HAVING THREE ANTI-SADDLES (II) |
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Citation： |
Ye Yanqian.LIMIT CYCLES AND BIFURCATION CURVES FOR THE QUADRATIC DIFFERENTIAL SYSTEM (III)m=0HAVING THREE ANTI-SADDLES (II)[J].Chinese Annals of Mathematics B,1997,18(3):315~322 |
| Page view： 981
Net amount： 962 |
Authors： |
Ye Yanqian; |
Foundation： |
Project supported by the National Natural Science
Foundation of China. |
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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. |
Keywords： |
Quadratic differential system, Limit cycle,
Bifurcation, Anti-saddle, Focus |
Classification： |
34C05 |
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