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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Itineraries for inverse limits of tent maps: A backward view

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Author(s):
Boyland, Philip [1] ; de Carvalho, Andre [2] ; Hall, Toby [3]
Total Authors: 3
Affiliation:
[1] Univ Florida, Dept Math, 372 Little Hall, Gainesville, FL 32611 - USA
[2] Univ Sao Paulo, IME, Dept Matemat Aplicada, Rua Matao 1010, Cidade Univ, BR-05508090 Sao Paulo, SP - Brazil
[3] Univ Liverpool, Dept Math Sci, Liverpool L69 7ZL, Merseyside - England
Total Affiliations: 3
Document type: Journal article
Source: Topology and its Applications; v. 232, p. 1-12, DEC 1 2017.
Web of Science Citations: 2
Abstract

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. (C) 2017 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 16/04687-9 - Dynamics and geometry in dimensions 1, 2 and 3
Grantee:André Salles de Carvalho
Support Opportunities: Scholarships abroad - Research