The Derivative of the Conjugacy Between Skew Tent Maps

Author(s)

Plakhotnyk, Makar

• Document type: Journal article
• Source: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS; v. 28, n. 9 AUG 2018.
• Web of Science Citations: 0

Abstract

We consider in this article the properties of topological conjugacy of the tent-like maps f(v) : {[}0, 1] -> {[}0, 1], which are piecewise linear and whose graph consists of straight line segments, extending from (0, 0) to (v, 1) to (1, 0), where v is an element of(0, 1) is a parameter. For any point x is an element of{[}0, 1], we reduce the calculation of the derivative of the conjugacy h of functions f(v1) and f(v2) to the limit of a recurrently defined sequence, which is defined by x. In the case v(1) = 1/2, this result is reduced to a study of some properties of the binary expansion of x. (AU)

• FAPESP's process: 13/11350-2 - Tiled orders, partial actions and homological aspects
• Grantee: Makar Plakhotnyk
• Support Opportunities: Scholarships in Brazil - Post-Doctoral