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a solution for a classical problem in bifurcation theory that was set out three decades ago and remained unexpectedly unpublished until now.
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页码：661 / 685
页数：24
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