Jacobian elliptic Chebyshev rational maps

被引：26

作者：

Kohda, T ^{[1
]}

Fujisaki, H ^{[1
]}

机构：

[1] Kyushu Univ, Dept Comp Sci & Commun Engn, Higashi Ku, Fukuoka 8128581, Japan

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2001年 / 148卷 / 3-4期

关键词：

chaos; ergodic map; independence; sequence of i.i.d. p-ary random variables; Chebyshev polynomial maps; Jacobian elliptic Chebyshev rational maps; ensemble average; correlation function; Perron-Frobenius operator;

D O I：

10.1016/S0167-2789(00)00184-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the Jacobian elliptic Chebyshev rational maps with the the equidistributivity properly (or briefly EDP) and the semi-group property like the Chebyshev polynomial maps. Simple methods are also discussed for generating sequences of i.i.d. p-ary random variables based on the Jacobian elliptic Chebyshev rational maps. Furthermore, we give conjectures on correlational properties of a real-valued trajectory generated by the Jacobian elliptic Chebyshev rational maps. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：242 / 254

页数：13

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