A stochastic approach to the construction of one-dimensional chaotic maps with prescribed statistical properties

被引：24
|
作者：
Diakonos, FK [1 ]
Pingel, D
Schmelcher, P
机构：
[1] Univ Athens, Dept Phys, GR-15771 Athens, Greece
[2] Univ Heidelberg, Inst Phys Chem, D-69120 Heidelberg, Germany
来源：
PHYSICS LETTERS A | 1999年 / 264卷 / 2-3期
关键词：
D O I：
10.1016/S0375-9601(99)00775-6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We use a recently found parametrization of the solutions of the inverse Frobenius-Perron problem within the class of complete unimodal maps to develop a Monte Carlo approach for the construction of one-dimensional chaotic dynamical laws with given statistical properties, i.e. invariant density and autocorrelation function. A variety of different examples are presented to demonstrate the power of our method. (C) 1999 Published by Elsevier Science B.V. All rights reserved.
引用
收藏
页码：162 / 170
页数：9
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