The fractal dimension of quasi-periodic orbits

被引：1

作者：

Rynne, BP ^{[1
]}

机构：

[1] Heriot Watt Univ, Dept Math, Edinburgh EH14 4AS, Midlothian, Scotland

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 1998年 / 18卷

关键词：

D O I：

10.1017/S0143385798120886

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recently, Naito considered quasi-periodic orbits of Holder continuous functions and obtained results relating the exponent in the Holder condition to the asymptotic behaviour of the inclusion lengths of the epsilon-almost periods of these orbits, and also to the fractal dimension of these orbits. In this paper we improve these results.

引用

页码：1467 / 1471

页数：5