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arXiv · 1503.03700

Topological equivalences for one-parameter bifurcations of maps

Francisco Balibrea·Henrique M. Oliveira·Jose C. Valverde
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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a solution for a classical problem in bifurcation theory that was set out three decades ago and remained unexpectedly unpublished until now

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Francisco Balibrea, Henrique M. Oliveira, Jose C. Valverde. 2016-11-14. Topological equivalences for one-parameter bifurcations of maps. https://doi.org/10.1007/s00332-016-9347-0

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