Topological conjugacy of piecewise monotonic functions of nonmonotonicity height ≥ 1

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:423

Article

Lesniak, Zbigniew¹  Shi, Yong-Guo² 

[1] Pedag Univ, Inst Math, PL-30084 Krakow, Poland

[2] Neijiang Normal Univ, Coll Math & Informat Sci, Key Lab Numer Simulat Sichuan Prov, Neijiang 641112, Sichuan, Peoples R China

关键词: Topological conjugacy;    r-modal map;    Conjugacy equation;    Nonmonotonicity height;   

DOI  :  10.1016/j.jmaa.2014.10.063

来源: Elsevier

【 摘 要 】

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. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free