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| LIMIT CYCLES AND BIFURCATION CURVES FORTHE QUADRATIC DIFFERENTIAL SYSTEM(III)$_{\hbox{\tf m}{\boldkey =}{\boldkey 0}}$ HAVING THREEANTI-SADDLES (I) |
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Citation： |
Ye Yanqian.LIMIT CYCLES AND BIFURCATION CURVES FORTHE QUADRATIC DIFFERENTIAL SYSTEM(III)$_{\hbox{\tf m}{\boldkey =}{\boldkey 0}}$ HAVING THREEANTI-SADDLES (I)[J].Chinese Annals of Mathematics B,1996,17(2):167~174 |
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Net amount： 841 |
Authors： |
Ye Yanqian; |
Foundation： |
Project supported by the National Natural Science
Foundation of China |
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| Abstract： |
For the quadratic system:
$\dot{x}=-y+\de x+lx^2+ny^2, \ \dot{y}=x(1+ax-y)$
under conditions $ -10$
the author draws in the $(a, \de)$ parameter plane the global
bifurcation diagram of trajectories around $O(0,0)$. Notice that
when $na^2+l<0$ the system has one saddle $N(0, \f{1}{n})$ and
three anti-saddles. |
Keywords： |
Quadrtic systen, Anti-saddle, Bifurcation curve,
Limit cycle |
Classification： |
34C05 |
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