Topological Equivalences for One-parameter Bifurcations of Scalar Maps

被引：5

作者：

Balibrea, Francisco ^{[1
]}

Oliveira, Henrique M. ^{[2
]}

Valverde, Jose C. ^{[3
]}

机构：

[1] Univ Murcia, Dept Math, Campus Espinardo, E-30100 Murcia, Spain

[2] Univ Lisbon, Inst Super Tecn, Dept Math, Ctr Math Anal Geometry & Dynam Syst, Ave Rovisco Pais 1, P-1049001 Lisbon, Portugal

[3] Univ Castilla La Mancha, Dept Math, Albacete 02071, Spain

来源：

JOURNAL OF NONLINEAR SCIENCE | 2017年 / 27卷 / 02期

关键词：

Topological equivalence; Topological conjugacy; Normal forms; Equivalence of local bifurcations;

D O I：

10.1007/s00332-016-9347-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Homeomorphisms allowing us to prove topological equivalences between one-parameter families of maps undergoing the same bifurcation are constructed in this paper. This provides a solution for a classical problem in bifurcation theory that was set out three decades ago and remained unexpectedly unpublished until now.

引用

页码：661 / 685

页数：25

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