二次多项式扰动二次可积系统的四个极限环
Four limit cycles from perturbing quadratic integrable systems by quadratic polynomials
摘要：
本文对二次拟可积多项式系统是否存在4个极限环这一公开问题给出了肯定的回答。证明了当二次可积系统具有两个中心且受二次多项式扰动时，至少能产生4个具有（3，1）分布的极限环。采用Melnikov函数法。
英文摘要：
In this paper, we give a positive answer to the open question: Can there exist 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. The method of Melnikov function is used.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
