IEEE Trans Cybern. 2016 Dec;46(12):3330-3341. doi: 10.1109/TCYB.2015.2504180. Epub 2015 Dec 17.
This paper proposes a general framework of 1-D chaotic maps called the dynamic parameter-control chaotic system (DPCCS). It has a simple but effective structure that uses the outputs of a chaotic map (control map) to dynamically control the parameter of another chaotic map (seed map). Using any existing 1-D chaotic map as the control/seed map (or both), DPCCS is able to produce a huge number of new chaotic maps. Evaluations and comparisons show that chaotic maps generated by DPCCS are very sensitive to their initial states, and have wider chaotic ranges, better unpredictability and more complex chaotic behaviors than their seed maps. Using a chaotic map of DPCCS as an example, we provide a field-programmable gate array design of this chaotic map to show the simplicity of DPCCS in hardware implementation, and introduce a new pseudo-random number generator (PRNG) to investigate the applications of DPCCS. Analysis and testing results demonstrate the excellent randomness of the proposed PRNG.
本文提出了一种称为动态参数控制混沌系统（DPCCS）的一维混沌映射通用框架。它具有简单而有效的结构，使用混沌映射（控制映射）的输出来动态控制另一个混沌映射（种子映射）的参数。使用任何现有的一维混沌映射作为控制/种子映射（或两者），DPCCS 能够产生大量新的混沌映射。评估和比较表明，DPCCS 生成的混沌映射对其初始状态非常敏感，并且与种子映射相比，具有更宽的混沌范围、更好的不可预测性和更复杂的混沌行为。我们以 DPCCS 的一个混沌映射为例，提供了这个混沌映射的现场可编程门阵列设计，以展示 DPCCS 在硬件实现中的简单性，并引入了一种新的伪随机数生成器（PRNG）来研究 DPCCS 的应用。分析和测试结果表明，所提出的 PRNG 具有优异的随机性。
