English

Topological equivalences for one-parameter bifurcations of maps

Dynamical Systems 2016-11-15 v2

Abstract

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a solution for a classical problem in bifurcation theory that was set out three decades ago and remained unexpectedly unpublished until now

Keywords

Cite

@article{arxiv.1503.03700,
  title  = {Topological equivalences for one-parameter bifurcations of maps},
  author = {Francisco Balibrea and Henrique M. Oliveira and Jose C. Valverde},
  journal= {arXiv preprint arXiv:1503.03700},
  year   = {2016}
}

Comments

25 Pages

R2 v1 2026-06-22T08:51:08.591Z