Global Bifurcations in Generic One-parameter Families on S2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb{S}^2$$\end{document}

被引:0
作者
Valeriia Starichkova
机构
[1] Université Paris-Sud 11,
[2] Département de Mathématiques,undefined
[3] Faculté des Sciences d’Orsay,undefined
关键词
bifurcations; equivalence; structural stability; 34C23; 37G99; 37E35;
D O I
10.1134/S1560354718060102
中图分类号
学科分类号
摘要
In this paper we prove that generic one-parameter families of vector fields on S2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb{S}^2$$\end{document} in the neighborhood of the fields of classes AH, SN, HC, SC (Andronov–Hopf, saddle-node, homoclinic curve, saddle connection) are structurally stable. We provide a classification of bifurcations in these families.
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页码:767 / 784
页数:17
相关论文
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