中国物理B ›› 2012, Vol. 21 ›› Issue (9): 90506-090506.doi: 10.1088/1674-1056/21/9/090506

• GENERAL • 上一篇    下一篇

A new pseudorandom number generator based on complex number chaotic equation

刘杨, 佟晓筠   

  1. School of Computer Science and Technology, Harbin Institute of Technology, Weihai 264209, China
  • 收稿日期:2011-12-21 修回日期:2012-05-02 出版日期:2012-08-01 发布日期:2012-08-01
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 60973162), the Natural Science Foundation of Shandong Province, China (Grant No. ZR2009GM037), the Science and Technology of Shandong Province, China (Grant No. 2010GGX10132), and the Key Program of the Natural Science Foundation of Shandong Province, China (Grant No. Z2006G01).

A new pseudorandom number generator based on complex number chaotic equation

Liu Yang (刘杨), Tong Xiao-Jun (佟晓筠)   

  1. School of Computer Science and Technology, Harbin Institute of Technology, Weihai 264209, China
  • Received:2011-12-21 Revised:2012-05-02 Online:2012-08-01 Published:2012-08-01
  • Contact: Liu Yang E-mail:liuyang@hitwh.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 60973162), the Natural Science Foundation of Shandong Province, China (Grant No. ZR2009GM037), the Science and Technology of Shandong Province, China (Grant No. 2010GGX10132), and the Key Program of the Natural Science Foundation of Shandong Province, China (Grant No. Z2006G01).

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摘要： 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 pseudorandom number sequences accordingly. Both theoretical analysis and experimental results show that the sequences generated by the proposed pseudorandom number generator possess many good properties.

关键词: chaotic equation, pseudorandom number generator, complex number

Abstract: 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 pseudorandom number sequences accordingly. Both theoretical analysis and experimental results show that the sequences generated by the proposed pseudorandom number generator possess many good properties.

Key words: chaotic equation, pseudorandom number generator, complex number

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
05.45.Gg (Control of chaos, applications of chaos)