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| A Note on the Expansion of the First Order Melnikov Function Near a Class of 3-polycycles |
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| KeyWord:Limit cycle Quadratic polynomial system 3-polycycle |
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| Abstract: |
| This paper comments that there exist some mistakes in the asymptotic expansion of the first order Menikov function near a 3-polycycle given by Theorem 3.1 of \cite{h3a1}. We present a correction to the theorem, and then use it to show that only one limit cycle can be found near a 3-polycycle for a class of quadratic systems. |
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