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PROPERTIES IN THE I,ARGE OF QUADRATIC SYSTEMS IN THE PLANE |
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Citation: |
Han Maoan.PROPERTIES IN THE I,ARGE OF QUADRATIC SYSTEMS IN THE PLANE[J].Chinese Annals of Mathematics B,1989,10(3):312~322 |
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Authors: |
Han Maoan; |
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Abstract: |
The author proves that any-quadratic system in the plane can be changed into the quadratic system $\[{E_1}\]$ ,$\[{E_2}\]$ by means of transformations, and then gives a necessary and sufficient condition for the systems $\[{E_1}\]$ and $\[{E_2}\]$ to be bounded for $\[t \ge 0\]$ and to have precisely one monotone unbounded orbit for $\[t \ge 0\]$ respectively. |
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