One Upper Estimate on the Number of Limit Cycles of Even Degree Liénard Equations in the Focus Case

Details One Upper Estimate on the Number of Limit Cycles of Even Degree Liénard Equations in the Focus Case One Upper Estimate on the Number of Limit Cycles of Even Degree Liénard Equations in the Focus Case

2009-11-18

arxiv.org/abs/0911.3516v1

Mathematics

Dynamical Systems

10 pages, 1 figure

Scientific paper

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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