Media Summary: Let's warm-up with a recollection of how we did symbolic dynamics in the context of the doubling map and the tent map. Let's skip ahead to show how having symbolic dynamics (a topological conjugacy to the shift map) would make it easy to prove ... Showing that the horseshoe invariant set is conjugate to the shift on bi-infinite symbol sequences is not too bad, once you ...
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Let's warm-up with a recollection of how we did symbolic dynamics in the context of the doubling map and the tent map. Let's skip ahead to show how having symbolic dynamics (a topological conjugacy to the shift map) would make it easy to prove ... Showing that the horseshoe invariant set is conjugate to the shift on bi-infinite symbol sequences is not too bad, once you ... Let's simulate and see what happens. Oh dear. We're going to be able to prove that the horseshoe map is chaotic, but to do so, we need to restrict to the invariant set -- the set of ...
