Itineraries for inverse limits of tent maps: A backward view

作者：Boyland Philip; de Carvalho Andre; Hall Toby^*

来源：Topology and Its Applications, 2017, 232: 1-12.

DOI：10.1016/j.topol.2017.09.012

• Inverse limits
• Unimodal maps
• Tent maps
• Symbolic dynamics
• Kneading theory

Previously published admissibility conditions for an element of{0,1}(z) to be the itinerary of a point of the inverse limit of a tent map are expressed in terms of forward orbits. We give necessary and sufficient conditions in terms of backward orbits, which is more natural for inverse limits. These backward admissibility conditions are not symmetric versions of the forward ones: in particular, the maximum backward itinerary which can be realised by a tent map mode locks on intervals of kneading sequences.

• 出版日期2017-12-1