Topological Equivalences for One-parameter Bifurcations of Scalar Maps

被引：0

作者：

Francisco Balibrea

Henrique M. Oliveira

Jose C. Valverde

机构：

[1] University of Murcia,Department of Mathematics

[2] University of Lisbon,Center for Mathematical Analysis, Geometry and Dynamical Systems, Department of Mathematics, Instituto Superior Técnico

[3] University of Castilla-La Mancha,Department of Mathematics

来源：

Journal of Nonlinear Science | 2017年 / 27卷

关键词：

Topological equivalence; Topological conjugacy; Normal forms; Equivalence of local bifurcations; Primary 37C15; Secondary 37G05;

D O I：

暂无

中图分类号：

学科分类号：

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a solution for a classical problem in bifurcation theory that was set out three decades ago and remained unexpectedly unpublished until now.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：24

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