|
| A Note on the Expansion of the First Order Melnikov Function Near a Class of 3-polycycles |
| |
| View Full Text View/Add Comment Download reader |
| KeyWord:Limit cycle Quadratic polynomial system 3-polycycle |
|
| Hits: 263 |
| Download times: 442 |
| 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. |
|
|
|
