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arXiv · 2112.01674

Further study on Horozov-Iliev's method of estimating the number of limit cycles

Xiaoyan Chen·Maoan Han
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Abstract

In the study of the number of limit cycles of near-Hamiltonian systems, the first order Melnikov function plays an important role. This paper aims to establish a development of a known method to estimate the upper bound of the number of zeros of the function.

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Xiaoyan Chen, Maoan Han. 2021-12-03. Further study on Horozov-Iliev's method of estimating the number of limit cycles. https://arxiv.org/abs/2112.01674

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