| Volume 1, Number 2, 2011, Pages 291-298 DOI：10.11948/2011020 |
| \( {\small \bf Communication Letter:}\) Four limit cycles in quadratic near-integrable system |
| Pei Yu,Maoan Han |
| Keywords:Hilbert’s 16th problem, quadratic near-integrable system, limit cycle, reversible system, Hopf bifurcation, Melnikov function. |
| Abstract: |
| In this note, we report of obtaining 4 limit cycles in quadratic near-integrable polynomial systems. It is shown that when a quadratic integrable system has two centers and is perturbed by quadratic polynomials, it can generate at least 4 limit cycles with (3.1) distribution. This result provides a positive answer to an open problem in this area. |
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