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arXiv · 0911.3516

One Upper Estimate on the Number of Limit Cycles of Even Degree Li\'enard Equations in the Focus Case

Grisha Kolutsky
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Abstract

We give an explicit upper bound for a number of limit cycles of the Li\'enard equation $\dot{x}=y-F(x)$, $\dot{y}=-x$ of even degree in the case its unique singular point $(0,0)$ is a focus.

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Grisha Kolutsky. 2009-11-18. One Upper Estimate on the Number of Limit Cycles of Even Degree Li\'enard Equations in the Focus Case. https://arxiv.org/abs/0911.3516

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