A new pseudorandom number generator based on a complex number chaotic equation

In recent years, various chaotic equation based pseudorandom number generators have been proposed. However, the chaotic equations are all defined in the real number field. In this paper, an equation is proposed and proved to be chaotic in the imaginary axis. And a pseudorandom number generator is co...

Full description

Saved in:
Bibliographic Details
Published inChinese physics B Vol. 21; no. 9; pp. 142 - 148
Main Author 刘杨 佟晓筠
Format Journal Article
LanguageEnglish
Published 01.09.2012
Subjects
Alterations
Chaos theory
Complex numbers
Construction
Generators
Mathematical analysis
Pseudorandom
Real numbers
Sequences
伪随机数发生器
基础
定义域
实数域
数字序列
混沌方程
等式
Online AccessGet full text
ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/21/9/090506

Cover

More Information
Summary:In recent years, various chaotic equation based pseudorandom number generators have been proposed. However, the chaotic equations are all defined in the real number field. In this paper, an equation is proposed and proved to be chaotic in the imaginary axis. And a pseudorandom number generator is constructed based on the chaotic equation. The alteration of the definitional domain of the chaotic equation from the real number field to the complex one provides a new approach to the construction of chaotic equations, and a new method to generate pseudorandorn number sequences accordingly. Both theoretical analysis and experimental results show that the sequences generated by the proposed pseudorandom number generator possess many good properties.
Bibliography:In recent years, various chaotic equation based pseudorandom number generators have been proposed. However, the chaotic equations are all defined in the real number field. In this paper, an equation is proposed and proved to be chaotic in the imaginary axis. And a pseudorandom number generator is constructed based on the chaotic equation. The alteration of the definitional domain of the chaotic equation from the real number field to the complex one provides a new approach to the construction of chaotic equations, and a new method to generate pseudorandorn number sequences accordingly. Both theoretical analysis and experimental results show that the sequences generated by the proposed pseudorandom number generator possess many good properties.
Liu Yang and Tong Xiao-Jun School of Computer Science and Technology, Harbin Institute of Technology, Weihai 264209, China
11-5639/O4
chaotic equation, pseudorandom number generator, complex number
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/21/9/090506