FOUR LIMIT CYCLES IN QUADRATIC NEAR-INTEGRABLE SYSTEMS ∗
FOUR LIMIT CYCLES IN QUADRATIC NEAR-INTEGRABLE SYSTEMS ∗
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DOI：
10.11948/2011020
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
P. Yu;Maoan Han
中科院分区：
文献类型：
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作者：
P. Yu;Maoan Han
在这篇文章中，我们报告了在二次近可积多项式系统中获得 4 个极限环。结果表明，当一个二次可积系统有两个中心并受到二次多项式摄动时，它可以产生至少4个服从(3, 1)分布的极限环。这一结果为该领域的一个悬而未决的问题提供了积极的答案。
In this note, we report of obtaining 4 limit cycles in quadratic nearintegrable 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.