A new pseudorandom number generator based on complex number chaotic equation

doi:10.1088/1674-1056/21/9/090506

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.

Keywords: chaotic equation pseudorandom number generator complex number

Received: 21 December 2011
Revised: 02 May 2012
Accepted manuscript online:

PACS:	05.45.-a	(Nonlinear dynamics and chaos)
	05.45.Gg	(Control of chaos, applications of chaos)

Fund: 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).

Corresponding Authors: Liu Yang
E-mail: liuyang@hitwh.edu.cn

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Liu Yang (刘杨), Tong Xiao-Jun (佟晓筠) A new pseudorandom number generator based on complex number chaotic equation 2012 Chin. Phys. B 21 090506

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