ON THE EVENTUAL PERIODICITY OF PIECEWISE LINEAR CHAOTIC MAPS

被引：3

作者：

Khan, M. Ali ^{[1
]}

Rajan, Ashvin V. ^{[2
]}

机构：

[1] Johns Hopkins Univ, Dept Econ, Baltimore, MD 21218 USA

[2] 3935 Cloverhill Rd, Baltimore, MD 21218 USA

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2017年 / 95卷 / 03期

关键词：

Li-Yorke chaos; piecewise linear functions; eventual convergence; almost everywhere convergence; dynamical systems; rationalisability; DYNAMICS;

D O I：

10.1017/S0004972716001313

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a family of continuous piecewise linear maps of the unit interval into itself that are all chaotic in the sense of Li and Yorke ['Period three implies chaos', Amer. Math. Monthly 82 (1975), 985-992] and for which almost every point (in the sense of Lebesgue) in the unit interval is an eventually periodic point of period p, p >= 3, for a member of the family.

引用

页码：467 / 475

页数：9

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