Slow divergence integrals in generalized Liénard equations near centers
Using techniques from singular perturbations we show that for any $n\ge 6$ and $m\ge 2$ there are Liénard equations $\{\dot{x}=y-F(x),\ \dot{y}=G(x)\}$, with $F$ a polynomial of degree $n$ and $G$ a polynomial of degree $m$, having at least $2[\frac{n-2}{2}]+[\frac{m}{2}]$ hyperbolic limit cycles,...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
University of Szeged
2014-12-01
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Series: | Electronic Journal of Qualitative Theory of Differential Equations |
Subjects: | |
Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=3307 |