On the structure of isentropes of polynomial maps

被引：7

作者：

Bruin, Henk ^{[1
]}

van Strien, Sebastian ^{[2
]}

机构：

[1] Univ Vienna, Fac Math, A-1090 Vienna, Austria

[2] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2AZ, England

来源：

DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL | 2013年 / 28卷 / 03期

关键词：

interval maps; topological entropy; isentrope; polynomial maps; ENTROPY; MONOTONICITY;

D O I：

10.1080/14689367.2013.822458

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The structure of isentropes (i.e. sets of constant topological entropy) including the monotonicity of entropy has been studied for polynomial interval maps since the 1980s. We show that isentropes of multimodal polynomial families need not be locally connected and that entropy does in general not depend monotonically on a single critical value.

引用

页码：381 / 392

页数：12

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