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Renormalization and forcing of horseshoe orbits

Published 11 Jun 2014 in math.DS | (1406.2896v2)

Abstract: In this paper we deal with the Boyland order of horseshoe orbits. We prove that there exists a set $\mathcal{R}$ of renormalizable horseshoe orbits containing only quasi-one-dimensional ones, that is, for these orbits the Boyland order coincides with the unimodal order.

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