Topological equivalences for one-parameter bifurcations of maps

Published 12 Mar 2015 in math.DS | (1503.03700v2)

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a solution for a classical problem in bifurcation theory that was set out three decades ago and remained unexpectedly unpublished until now

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