Inverse Limits on [0,1] Using Tent Maps and Certain Other Piecewise Linear Bonding Maps

Continua ◽  
2020 ◽  
pp. 253-258
Author(s):  
W. T. Ingram
Keyword(s):  
Piecewise Linear ◽  
Inverse Limits ◽  
Tent Maps

scholarly journals Towards the complete classification of generalized tent maps inverse limits

2013 ◽  
Vol 160 (1) ◽  
pp. 63-73 ◽  
Author(s):  
Iztok Banič ◽  
Matevž Črepnjak ◽  
Matej Merhar ◽  
Uroš Milutinović
Keyword(s):  
Complete Classification ◽  
Inverse Limits ◽  
Tent Maps

scholarly journals Itineraries for inverse limits of tent maps: A backward view

2017 ◽  
Vol 232 ◽  
pp. 1-12 ◽  
Author(s):  
Philip Boyland ◽  
André de Carvalho ◽  
Toby Hall
Keyword(s):  
Inverse Limits ◽  
Tent Maps

The Derivative of the Conjugacy Between Skew Tent Maps

2018 ◽  
Vol 28 (09) ◽  
pp. 1850107
Author(s):  
Makar Plakhotnyk
Keyword(s):  
Piecewise Linear ◽  
Topological Conjugacy ◽  
Binary Expansion ◽  
Line Segments ◽  
Straight Line ◽  
Tent Maps

We consider in this article the properties of topological conjugacy of the tent-like maps [Formula: see text], which are piecewise linear and whose graph consists of straight line segments, extending from [Formula: see text] to [Formula: see text] to [Formula: see text], where [Formula: see text] is a parameter. For any point [Formula: see text], we reduce the calculation of the derivative of the conjugacy [Formula: see text] of functions [Formula: see text] and [Formula: see text] to the limit of a recurrently defined sequence, which is defined by [Formula: see text]. In the case [Formula: see text], this result is reduced to a study of some properties of the binary expansion of [Formula: see text].

scholarly journals On the classification of inverse limits of tent maps

2005 ◽  
Vol 187 (2) ◽  
pp. 171-192 ◽  
Author(s):  
Louis Block ◽  
Slagjana Jakimovik ◽  
Lois Kailhofer ◽  
James Keesling
Keyword(s):  
Inverse Limits ◽  
Tent Maps

scholarly journals Parrondo’s Paradox for Tent Maps

Axioms ◽  
2021 ◽  
Vol 10 (2) ◽  
pp. 85
Author(s):  
Jose S. Cánovas
Keyword(s):  
Piecewise Linear ◽  
Simple Complex ◽  
Tent Map ◽  
Linear Homeomorphism ◽  
Linear Maps ◽  
Parrondo’S Paradox ◽  
Tent Maps ◽  
Piecewise Linear Maps ◽  
Constant Slope

In this paper, we study the dynamic Parrondo’s paradox for the well-known family of tent maps. We prove that this paradox is impossible when we consider piecewise linear maps with constant slope. In addition, we analyze the paradox “simple + simple = complex” when a tent map with constant slope and a piecewise linear homeomorphism with two different slopes are considered.

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