THE MONOTONICITY OF THE ENTROPY FOR A FAMILY OF DEGREE ONE CIRCLE MAPS

被引：2

作者：

ALSEDA, L ^{[1
]}

MANOSAS, F ^{[1
]}

机构：

[1] UNIV POLITECN CATALUNYA,ETS ENGINYERS IND TERRASSA,E-08222 TERRASSA,SPAIN

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 334卷 / 02期

关键词：

KNEADING THEORY; MONOTONICITY; TOPOLOGICAL ENTROPY;

D O I：

10.2307/2154477

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For the natural biparametric family of piecewise linear circle maps with two pieces we show that the entropy increases when any of the two parameters increases. We also describe the regions of the parameter space where the monotonicity is strict.

引用

页码：651 / 684

页数：34

共 9 条

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[3] lower bounds of the topological entropy for continuous maps of the circle of degree one
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[J]. NONLINEARITY, 1988, 1 (03) : 463 - 479
[4] MONOTONICITY PROPERTIES OF THE FAMILY OF TRAPEZOIDAL MAPS
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MISIUREWICZ, M
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[8] [No title captured]
[9] [No title captured]

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