Logistic map as a random number generator

Logistic map as a random number generator
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DOI:
10.1142/s021797929800051x
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发表时间:
1998-04-10
影响因子:
1.7
通讯作者:
Andrecut, M
Andrecut, M
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
Andrecut, M

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当控制参数取最大值时,Logistic映射能够产生一个无限混沌序列。在这里,我们描述了一个简单的方法来获得一个随机数生成器的基础上的这个属性的Logistic映射。与通常的同馀随机数发生器的周期性相比,Logistic随机数发生器是无限的、非周期的、不相关的。非周期随机数发生器是计算机模拟方法的重要工具。
For the largest value of the control parameter, the logistic map is able to generate an infinite chaotic sequence of numbers. Here we describe a simple method for obtaining a random number generator based on this property of the logistic map. Comparing to usual congruential random generators, which are periodic, the logistic random number generator is infinite, aperiodic and not correlated. An aperiodic random number generator is a valuable tool for computer simulation methods.