On the construction of one-dimensional iterative maps from the invariant density: The dynamical route to the beta distribution

被引：25

作者：

Diakonos, FK ^{[1
]}

Schmelcher, P ^{[1
]}

机构：

[1] UNIV CALIF SANTA BARBARA,DEPT PHYS,SANTA BARBARA,CA 93106

来源：

PHYSICS LETTERS A | 1996年 / 211卷 / 04期

关键词：

NON-LINEAR TRANSFORMATIONS; UNIVERSALITY; SYSTEMS; CHAOS;

D O I：

10.1016/0375-9601(95)00971-X

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using the Frobenius-Perron functional equation we construct a one-dimensional iterative map resulting from a given invariant density. As a specific example we focus on the symmetric beta distribution and obtain a class of maps with a broad range of universal properties. The analytical behaviour as well as the bifurcation routes of these maps are studied in some detail.

引用

页码：199 / 203

页数：5

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