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. |
PDF Download reader
|
|
|
|