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arXiv · 1002.1055

Four limit cycles from perturbing quadratic integrable systems by quadratic polynomials

Pei Yu·Maoan Han
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Abstract

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.

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Pei Yu, Maoan Han. 2010-02-04. Four limit cycles from perturbing quadratic integrable systems by quadratic polynomials. https://arxiv.org/abs/1002.1055

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