Article ID Journal Published Year Pages File Type
6418050 Journal of Mathematical Analysis and Applications 2015 12 Pages PDF
Abstract

The conjugacy problem is an important topic in the theory of dynamical systems and functional equations. In this paper, we investigate a class of piecewise monotone and continuous maps with nonmonotonicity height ≥1. We give a sufficient and necessary condition under which any two of these maps are topologically conjugate, and construct a topological conjugacy with an extension method if such a conjugacy exists.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
, ,