An upper estimate for the number of limit cycles of even-degree Liénard equations in the focus case

被引：0

作者：

G. Kolutsky

机构：

[1] Russian Academy of Sciences,Institute for Information Transmission Problems (Kharkevich Institute)

来源：

Journal of Dynamical and Control Systems | 2011年 / 17卷

关键词：

Limit cycles; Poincaré map; Liénard equations; Hilbert’s 16th problem; Hilbert–Smale problem; Primary 34C07; secondary 34M10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We give an upper estimate for the number of limit cycles of the Liénard equations \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \dot{x} $\end{document} = y − F(x), \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \dot{y} $\end{document} = −x of even degree in the case where its unique singular point (0, 0) is a focus.

引用