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Horseshoe for an interval map

An interval map

F

has a horseshoe when there are closed intervals

J_{0}, J_{1}

with disjoint interiors such that

F (J_{i}) \supseteq J_{0} \cup J_{1} (i = 0, 1) .

Iterating inverse branches produces full two-symbol itinerary dynamics.

Table of contents 71 1
- Horseshoe from two closed covering walks Horseshoe for an interval map 45

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