Itineraries for inverse limits of tent maps: A backward view

Autor(es)

Boyland, Philip ^[1] ; de Carvalho, Andre ^[2] ; Hall, Toby ^[3]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: Topology and its Applications; v. 232, p. 1-12, DEC 1 2017.
• Citações Web of Science: 2

Resumo

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)

• Processo FAPESP: 16/04687-9 - Dinâmica e geometria em dimensões 1, 2 e 3
• Beneficiário: André Salles de Carvalho
• Modalidade de apoio: Bolsas no Exterior - Pesquisa