KNEADING THEORY AND ROTATION INTERVALS FOR A CLASS OF CIRCLE MAPS OF DEGREE-ONE

被引：14
作者：
ALSEDA, L [1 ]
MANOSAS, F [1 ]
机构：
[1] UNIV POLITECN CATALUNYA,ESCUELA TECH SUPER ARQUITECTURA VALLES,DEPT MATEMAT APLICADA,TERRASSA,SPAIN
来源：
NONLINEARITY | 1990年 / 3卷 / 02期
关键词：
D O I：
10.1088/0951-7715/3/2/008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The authors give a kneading theory for the class of continuous maps of the circle of degree with a single maximum and a single minimum. For a map of this class they characterise the set of itineraries depending on the rotation interval. From this result they obtain lower and upper bounds of the topological entropy and of the number of periodic orbits of each period. These lower bounds appear to be valid for a general continuous map of the circle of degree one. © 1990 IOP Publishing Ltd.
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页码：413 / 452
页数：40
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