logistic_map

This is the most used chaotic map . The map is sensitive for the value of the parameter greater than 3.568

Provides functions for generating pseudo-random numbers that follow a uniform distribution [0,1]. Randomness tests were conducted using the National Institute of Standards and Technology test suite<https://csrc.nist.gov/pubs/sp/800/22/r1/upd1/final>, along with additional tests. The sequence generated depends on the initial values and parameters. The package includes a linear congruence map as the decision map and three chaotic maps to generate the pseudo-random sequence, which follow a uniform distribution. Other distributions can be generated from the uniform distribution using the Inversion Principle Method and BOX-Muller transformation. Small perturbations in seed values result in entirely different sequences of numbers due to the sensitive nature of the maps being used. The chaotic nature of the maps helps achieve randomness in the generator. Additionally, the generator is capable of producing random bits.

Sajad Ahmad Mir

PRNG

A Pseudo-Random Number Generator

Dr. Puneet Sharma

logistic_map function

<dl><dt>x0</dt>
<dd>the seed value range from 0 to 1</dd>
<dt>a</dt>
<dd>the parameter ranging from 3.5 to 4</dd></dl>

Arguments

Logistic map — logistic_map

<dl>

<dt>x0</dt>
<dd>the seed value range from 0 to 1</dd>


<dt>a</dt>
<dd>the parameter ranging from 3.5 to 4</dd>

</dl>

logistic_map: Logistic map

Description

Usage

Value

Arguments

Examples